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Finding the Third Proportional to 52,012.13 and 71,650.13

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Solution

The third proportional to 52,012.13 and 71,650.13 is: 98,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.13 : 71,650.13 = 71,650.13 : x
  2. Step 2: Convert to fraction form
    52,012.13/71,650.13 = 71,650.13/x
  3. Step 3: Cross multiply
    52,012.13x = 71,650.13 × 71,650.13
  4. Step 4: Simplify right side
    52,012.13x = 5,133,740,412.52
  5. Step 5: Solve for x
    x = 5,133,740,412.52/52,012.13
  6. Step 6: Final answer
    x = 98,702.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.