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Finding the Third Proportional to 2,080 and 5,129

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Solution

The third proportional to 2,080 and 5,129 is: 12,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 5,129 = 5,129 : x
  2. Step 2: Convert to fraction form
    2,080/5,129 = 5,129/x
  3. Step 3: Cross multiply
    2,080x = 5,129 × 5,129
  4. Step 4: Simplify right side
    2,080x = 26,306,641
  5. Step 5: Solve for x
    x = 26,306,641/2,080
  6. Step 6: Final answer
    x = 12,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.