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Finding the Third Proportional to 2,577 and 4,098

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Solution

The third proportional to 2,577 and 4,098 is: 6,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 4,098 = 4,098 : x
  2. Step 2: Convert to fraction form
    2,577/4,098 = 4,098/x
  3. Step 3: Cross multiply
    2,577x = 4,098 × 4,098
  4. Step 4: Simplify right side
    2,577x = 16,793,604
  5. Step 5: Solve for x
    x = 16,793,604/2,577
  6. Step 6: Final answer
    x = 6,516.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.