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Finding the Third Proportional to 40,572 and 62,794

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Solution

The third proportional to 40,572 and 62,794 is: 97,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,572 : 62,794 = 62,794 : x
  2. Step 2: Convert to fraction form
    40,572/62,794 = 62,794/x
  3. Step 3: Cross multiply
    40,572x = 62,794 × 62,794
  4. Step 4: Simplify right side
    40,572x = 3,943,086,436
  5. Step 5: Solve for x
    x = 3,943,086,436/40,572
  6. Step 6: Final answer
    x = 97,187.38

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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.