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Finding the Third Proportional to 8,534 and 11,391

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Solution

The third proportional to 8,534 and 11,391 is: 15,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 11,391 = 11,391 : x
  2. Step 2: Convert to fraction form
    8,534/11,391 = 11,391/x
  3. Step 3: Cross multiply
    8,534x = 11,391 × 11,391
  4. Step 4: Simplify right side
    8,534x = 129,754,881
  5. Step 5: Solve for x
    x = 129,754,881/8,534
  6. Step 6: Final answer
    x = 15,204.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.