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Finding the Third Proportional to 11,387.50 and 24,719

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Solution

The third proportional to 11,387.50 and 24,719 is: 53,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.50 : 24,719 = 24,719 : x
  2. Step 2: Convert to fraction form
    11,387.50/24,719 = 24,719/x
  3. Step 3: Cross multiply
    11,387.50x = 24,719 × 24,719
  4. Step 4: Simplify right side
    11,387.50x = 611,028,961
  5. Step 5: Solve for x
    x = 611,028,961/11,387.50
  6. Step 6: Final answer
    x = 53,657.87

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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.