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Finding the Third Proportional to 5,599 and 7,577

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Solution

The third proportional to 5,599 and 7,577 is: 10,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599 : 7,577 = 7,577 : x
  2. Step 2: Convert to fraction form
    5,599/7,577 = 7,577/x
  3. Step 3: Cross multiply
    5,599x = 7,577 × 7,577
  4. Step 4: Simplify right side
    5,599x = 57,410,929
  5. Step 5: Solve for x
    x = 57,410,929/5,599
  6. Step 6: Final answer
    x = 10,253.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.