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Finding the Third Proportional to 8,342 and 11,587

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Solution

The third proportional to 8,342 and 11,587 is: 16,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 11,587 = 11,587 : x
  2. Step 2: Convert to fraction form
    8,342/11,587 = 11,587/x
  3. Step 3: Cross multiply
    8,342x = 11,587 × 11,587
  4. Step 4: Simplify right side
    8,342x = 134,258,569
  5. Step 5: Solve for x
    x = 134,258,569/8,342
  6. Step 6: Final answer
    x = 16,094.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.