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Finding the Third Proportional to 40,726.13 and 53,551.13

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Solution

The third proportional to 40,726.13 and 53,551.13 is: 70,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726.13 : 53,551.13 = 53,551.13 : x
  2. Step 2: Convert to fraction form
    40,726.13/53,551.13 = 53,551.13/x
  3. Step 3: Cross multiply
    40,726.13x = 53,551.13 × 53,551.13
  4. Step 4: Simplify right side
    40,726.13x = 2,867,722,988.77
  5. Step 5: Solve for x
    x = 2,867,722,988.77/40,726.13
  6. Step 6: Final answer
    x = 70,414.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.