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Finding the Third Proportional to 18,642 and 40,564

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Solution

The third proportional to 18,642 and 40,564 is: 88,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 40,564 = 40,564 : x
  2. Step 2: Convert to fraction form
    18,642/40,564 = 40,564/x
  3. Step 3: Cross multiply
    18,642x = 40,564 × 40,564
  4. Step 4: Simplify right side
    18,642x = 1,645,438,096
  5. Step 5: Solve for x
    x = 1,645,438,096/18,642
  6. Step 6: Final answer
    x = 88,265.11

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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.