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Finding the Third Proportional to 7,737 and 8,871

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Solution

The third proportional to 7,737 and 8,871 is: 10,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 8,871 = 8,871 : x
  2. Step 2: Convert to fraction form
    7,737/8,871 = 8,871/x
  3. Step 3: Cross multiply
    7,737x = 8,871 × 8,871
  4. Step 4: Simplify right side
    7,737x = 78,694,641
  5. Step 5: Solve for x
    x = 78,694,641/7,737
  6. Step 6: Final answer
    x = 10,171.21

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.