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Finding the Third Proportional to 41,158.13 and 61,561.13

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Solution

The third proportional to 41,158.13 and 61,561.13 is: 92,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,158.13 : 61,561.13 = 61,561.13 : x
  2. Step 2: Convert to fraction form
    41,158.13/61,561.13 = 61,561.13/x
  3. Step 3: Cross multiply
    41,158.13x = 61,561.13 × 61,561.13
  4. Step 4: Simplify right side
    41,158.13x = 3,789,772,111.27
  5. Step 5: Solve for x
    x = 3,789,772,111.27/41,158.13
  6. Step 6: Final answer
    x = 92,078.35

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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.