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Finding the Third Proportional to 5,872 and 12,712

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Solution

The third proportional to 5,872 and 12,712 is: 27,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 12,712 = 12,712 : x
  2. Step 2: Convert to fraction form
    5,872/12,712 = 12,712/x
  3. Step 3: Cross multiply
    5,872x = 12,712 × 12,712
  4. Step 4: Simplify right side
    5,872x = 161,594,944
  5. Step 5: Solve for x
    x = 161,594,944/5,872
  6. Step 6: Final answer
    x = 27,519.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.