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Finding the Third Proportional to 3,599 and 5,871

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Solution

The third proportional to 3,599 and 5,871 is: 9,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 5,871 = 5,871 : x
  2. Step 2: Convert to fraction form
    3,599/5,871 = 5,871/x
  3. Step 3: Cross multiply
    3,599x = 5,871 × 5,871
  4. Step 4: Simplify right side
    3,599x = 34,468,641
  5. Step 5: Solve for x
    x = 34,468,641/3,599
  6. Step 6: Final answer
    x = 9,577.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.