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Finding the Third Proportional to 40,842 and 59,481

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Solution

The third proportional to 40,842 and 59,481 is: 86,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842 : 59,481 = 59,481 : x
  2. Step 2: Convert to fraction form
    40,842/59,481 = 59,481/x
  3. Step 3: Cross multiply
    40,842x = 59,481 × 59,481
  4. Step 4: Simplify right side
    40,842x = 3,537,989,361
  5. Step 5: Solve for x
    x = 3,537,989,361/40,842
  6. Step 6: Final answer
    x = 86,626.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.