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Finding the Third Proportional to 40,344 and 62,726

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Solution

The third proportional to 40,344 and 62,726 is: 97,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,344 : 62,726 = 62,726 : x
  2. Step 2: Convert to fraction form
    40,344/62,726 = 62,726/x
  3. Step 3: Cross multiply
    40,344x = 62,726 × 62,726
  4. Step 4: Simplify right side
    40,344x = 3,934,551,076
  5. Step 5: Solve for x
    x = 3,934,551,076/40,344
  6. Step 6: Final answer
    x = 97,525.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.