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Finding the Third Proportional to 5,577 and 12,939

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Solution

The third proportional to 5,577 and 12,939 is: 30,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577 : 12,939 = 12,939 : x
  2. Step 2: Convert to fraction form
    5,577/12,939 = 12,939/x
  3. Step 3: Cross multiply
    5,577x = 12,939 × 12,939
  4. Step 4: Simplify right side
    5,577x = 167,417,721
  5. Step 5: Solve for x
    x = 167,417,721/5,577
  6. Step 6: Final answer
    x = 30,019.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.