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Finding the Third Proportional to 8,768 and 13,882

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Solution

The third proportional to 8,768 and 13,882 is: 21,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 13,882 = 13,882 : x
  2. Step 2: Convert to fraction form
    8,768/13,882 = 13,882/x
  3. Step 3: Cross multiply
    8,768x = 13,882 × 13,882
  4. Step 4: Simplify right side
    8,768x = 192,709,924
  5. Step 5: Solve for x
    x = 192,709,924/8,768
  6. Step 6: Final answer
    x = 21,978.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.