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Finding the Third Proportional to 42,354 and 59,499

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Solution

The third proportional to 42,354 and 59,499 is: 83,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,354 : 59,499 = 59,499 : x
  2. Step 2: Convert to fraction form
    42,354/59,499 = 59,499/x
  3. Step 3: Cross multiply
    42,354x = 59,499 × 59,499
  4. Step 4: Simplify right side
    42,354x = 3,540,131,001
  5. Step 5: Solve for x
    x = 3,540,131,001/42,354
  6. Step 6: Final answer
    x = 83,584.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.