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Finding the Third Proportional to 11,377 and 24,815

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Solution

The third proportional to 11,377 and 24,815 is: 54,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377 : 24,815 = 24,815 : x
  2. Step 2: Convert to fraction form
    11,377/24,815 = 24,815/x
  3. Step 3: Cross multiply
    11,377x = 24,815 × 24,815
  4. Step 4: Simplify right side
    11,377x = 615,784,225
  5. Step 5: Solve for x
    x = 615,784,225/11,377
  6. Step 6: Final answer
    x = 54,125.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.