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Finding the Third Proportional to 22,042.13 and 52,012.13

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Solution

The third proportional to 22,042.13 and 52,012.13 is: 122,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.13 : 52,012.13 = 52,012.13 : x
  2. Step 2: Convert to fraction form
    22,042.13/52,012.13 = 52,012.13/x
  3. Step 3: Cross multiply
    22,042.13x = 52,012.13 × 52,012.13
  4. Step 4: Simplify right side
    22,042.13x = 2,705,261,147.02
  5. Step 5: Solve for x
    x = 2,705,261,147.02/22,042.13
  6. Step 6: Final answer
    x = 122,731.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.