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Finding the Third Proportional to 19,917 and 42,564

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Solution

The third proportional to 19,917 and 42,564 is: 90,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917 : 42,564 = 42,564 : x
  2. Step 2: Convert to fraction form
    19,917/42,564 = 42,564/x
  3. Step 3: Cross multiply
    19,917x = 42,564 × 42,564
  4. Step 4: Simplify right side
    19,917x = 1,811,694,096
  5. Step 5: Solve for x
    x = 1,811,694,096/19,917
  6. Step 6: Final answer
    x = 90,962.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.