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Finding the Third Proportional to 8,862 and 13,607

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Solution

The third proportional to 8,862 and 13,607 is: 20,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862 : 13,607 = 13,607 : x
  2. Step 2: Convert to fraction form
    8,862/13,607 = 13,607/x
  3. Step 3: Cross multiply
    8,862x = 13,607 × 13,607
  4. Step 4: Simplify right side
    8,862x = 185,150,449
  5. Step 5: Solve for x
    x = 185,150,449/8,862
  6. Step 6: Final answer
    x = 20,892.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.