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Finding the Third Proportional to 40,246.13 and 87,417.38

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Solution

The third proportional to 40,246.13 and 87,417.38 is: 189,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246.13 : 87,417.38 = 87,417.38 : x
  2. Step 2: Convert to fraction form
    40,246.13/87,417.38 = 87,417.38/x
  3. Step 3: Cross multiply
    40,246.13x = 87,417.38 × 87,417.38
  4. Step 4: Simplify right side
    40,246.13x = 7,641,797,451.89
  5. Step 5: Solve for x
    x = 7,641,797,451.89/40,246.13
  6. Step 6: Final answer
    x = 189,876.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.