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Finding the Third Proportional to 8,918 and 10,538

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Solution

The third proportional to 8,918 and 10,538 is: 12,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,918 : 10,538 = 10,538 : x
  2. Step 2: Convert to fraction form
    8,918/10,538 = 10,538/x
  3. Step 3: Cross multiply
    8,918x = 10,538 × 10,538
  4. Step 4: Simplify right side
    8,918x = 111,049,444
  5. Step 5: Solve for x
    x = 111,049,444/8,918
  6. Step 6: Final answer
    x = 12,452.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.