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Finding the Third Proportional to 29,842 and 40,381

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Solution

The third proportional to 29,842 and 40,381 is: 54,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842 : 40,381 = 40,381 : x
  2. Step 2: Convert to fraction form
    29,842/40,381 = 40,381/x
  3. Step 3: Cross multiply
    29,842x = 40,381 × 40,381
  4. Step 4: Simplify right side
    29,842x = 1,630,625,161
  5. Step 5: Solve for x
    x = 1,630,625,161/29,842
  6. Step 6: Final answer
    x = 54,641.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.