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Finding the Third Proportional to 5,480 and 7,599

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Solution

The third proportional to 5,480 and 7,599 is: 10,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480 : 7,599 = 7,599 : x
  2. Step 2: Convert to fraction form
    5,480/7,599 = 7,599/x
  3. Step 3: Cross multiply
    5,480x = 7,599 × 7,599
  4. Step 4: Simplify right side
    5,480x = 57,744,801
  5. Step 5: Solve for x
    x = 57,744,801/5,480
  6. Step 6: Final answer
    x = 10,537.37

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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.