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Finding the Third Proportional to 10,540.13 and 22,048.45

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Solution

The third proportional to 10,540.13 and 22,048.45 is: 46,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 22,048.45 = 22,048.45 : x
  2. Step 2: Convert to fraction form
    10,540.13/22,048.45 = 22,048.45/x
  3. Step 3: Cross multiply
    10,540.13x = 22,048.45 × 22,048.45
  4. Step 4: Simplify right side
    10,540.13x = 486,134,285.21
  5. Step 5: Solve for x
    x = 486,134,285.21/10,540.13
  6. Step 6: Final answer
    x = 46,122.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.