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Finding the Third Proportional to 24,931 and 54,555

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Solution

The third proportional to 24,931 and 54,555 is: 119,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931 : 54,555 = 54,555 : x
  2. Step 2: Convert to fraction form
    24,931/54,555 = 54,555/x
  3. Step 3: Cross multiply
    24,931x = 54,555 × 54,555
  4. Step 4: Simplify right side
    24,931x = 2,976,248,025
  5. Step 5: Solve for x
    x = 2,976,248,025/24,931
  6. Step 6: Final answer
    x = 119,379.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.