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Finding the Third Proportional to 40,382 and 61,302

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Solution

The third proportional to 40,382 and 61,302 is: 93,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382 : 61,302 = 61,302 : x
  2. Step 2: Convert to fraction form
    40,382/61,302 = 61,302/x
  3. Step 3: Cross multiply
    40,382x = 61,302 × 61,302
  4. Step 4: Simplify right side
    40,382x = 3,757,935,204
  5. Step 5: Solve for x
    x = 3,757,935,204/40,382
  6. Step 6: Final answer
    x = 93,059.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.