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Finding the Third Proportional to 40,598 and 62,438

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Solution

The third proportional to 40,598 and 62,438 is: 96,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598 : 62,438 = 62,438 : x
  2. Step 2: Convert to fraction form
    40,598/62,438 = 62,438/x
  3. Step 3: Cross multiply
    40,598x = 62,438 × 62,438
  4. Step 4: Simplify right side
    40,598x = 3,898,503,844
  5. Step 5: Solve for x
    x = 3,898,503,844/40,598
  6. Step 6: Final answer
    x = 96,026.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.