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Finding the Third Proportional to 19,486 and 41,564

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Solution

The third proportional to 19,486 and 41,564 is: 88,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486 : 41,564 = 41,564 : x
  2. Step 2: Convert to fraction form
    19,486/41,564 = 41,564/x
  3. Step 3: Cross multiply
    19,486x = 41,564 × 41,564
  4. Step 4: Simplify right side
    19,486x = 1,727,566,096
  5. Step 5: Solve for x
    x = 1,727,566,096/19,486
  6. Step 6: Final answer
    x = 88,656.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.