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Finding the Third Proportional to 5,840 and 7,599

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Solution

The third proportional to 5,840 and 7,599 is: 9,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 7,599 = 7,599 : x
  2. Step 2: Convert to fraction form
    5,840/7,599 = 7,599/x
  3. Step 3: Cross multiply
    5,840x = 7,599 × 7,599
  4. Step 4: Simplify right side
    5,840x = 57,744,801
  5. Step 5: Solve for x
    x = 57,744,801/5,840
  6. Step 6: Final answer
    x = 9,887.81

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.