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Finding the Third Proportional to 40,957 and 61,811

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Solution

The third proportional to 40,957 and 61,811 is: 93,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,957 : 61,811 = 61,811 : x
  2. Step 2: Convert to fraction form
    40,957/61,811 = 61,811/x
  3. Step 3: Cross multiply
    40,957x = 61,811 × 61,811
  4. Step 4: Simplify right side
    40,957x = 3,820,599,721
  5. Step 5: Solve for x
    x = 3,820,599,721/40,957
  6. Step 6: Final answer
    x = 93,283.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.