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Finding the Third Proportional to 40,892 and 61,541

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Solution

The third proportional to 40,892 and 61,541 is: 92,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892 : 61,541 = 61,541 : x
  2. Step 2: Convert to fraction form
    40,892/61,541 = 61,541/x
  3. Step 3: Cross multiply
    40,892x = 61,541 × 61,541
  4. Step 4: Simplify right side
    40,892x = 3,787,294,681
  5. Step 5: Solve for x
    x = 3,787,294,681/40,892
  6. Step 6: Final answer
    x = 92,617.01

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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.