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Finding the Third Proportional to 40,811 and 61,472

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Solution

The third proportional to 40,811 and 61,472 is: 92,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,811 : 61,472 = 61,472 : x
  2. Step 2: Convert to fraction form
    40,811/61,472 = 61,472/x
  3. Step 3: Cross multiply
    40,811x = 61,472 × 61,472
  4. Step 4: Simplify right side
    40,811x = 3,778,806,784
  5. Step 5: Solve for x
    x = 3,778,806,784/40,811
  6. Step 6: Final answer
    x = 92,592.85

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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.