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Finding the Third Proportional to 13,564 and 17,882

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Solution

The third proportional to 13,564 and 17,882 is: 23,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564 : 17,882 = 17,882 : x
  2. Step 2: Convert to fraction form
    13,564/17,882 = 17,882/x
  3. Step 3: Cross multiply
    13,564x = 17,882 × 17,882
  4. Step 4: Simplify right side
    13,564x = 319,765,924
  5. Step 5: Solve for x
    x = 319,765,924/13,564
  6. Step 6: Final answer
    x = 23,574.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.