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Finding the Third Proportional to 41,016 and 61,528

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Solution

The third proportional to 41,016 and 61,528 is: 92,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,016 : 61,528 = 61,528 : x
  2. Step 2: Convert to fraction form
    41,016/61,528 = 61,528/x
  3. Step 3: Cross multiply
    41,016x = 61,528 × 61,528
  4. Step 4: Simplify right side
    41,016x = 3,785,694,784
  5. Step 5: Solve for x
    x = 3,785,694,784/41,016
  6. Step 6: Final answer
    x = 92,298.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.