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Finding the Third Proportional to 40,726.13 and 63,541.13

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Solution

The third proportional to 40,726.13 and 63,541.13 is: 99,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726.13 : 63,541.13 = 63,541.13 : x
  2. Step 2: Convert to fraction form
    40,726.13/63,541.13 = 63,541.13/x
  3. Step 3: Cross multiply
    40,726.13x = 63,541.13 × 63,541.13
  4. Step 4: Simplify right side
    40,726.13x = 4,037,474,566.27
  5. Step 5: Solve for x
    x = 4,037,474,566.27/40,726.13
  6. Step 6: Final answer
    x = 99,137.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.