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Finding the Third Proportional to 5,871 and 8,599

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Solution

The third proportional to 5,871 and 8,599 is: 12,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871 : 8,599 = 8,599 : x
  2. Step 2: Convert to fraction form
    5,871/8,599 = 8,599/x
  3. Step 3: Cross multiply
    5,871x = 8,599 × 8,599
  4. Step 4: Simplify right side
    5,871x = 73,942,801
  5. Step 5: Solve for x
    x = 73,942,801/5,871
  6. Step 6: Final answer
    x = 12,594.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.