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Finding the Third Proportional to 5,962.13 and 12,948.56

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Solution

The third proportional to 5,962.13 and 12,948.56 is: 28,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.13 : 12,948.56 = 12,948.56 : x
  2. Step 2: Convert to fraction form
    5,962.13/12,948.56 = 12,948.56/x
  3. Step 3: Cross multiply
    5,962.13x = 12,948.56 × 12,948.56
  4. Step 4: Simplify right side
    5,962.13x = 167,665,270.82
  5. Step 5: Solve for x
    x = 167,665,270.82/5,962.13
  6. Step 6: Final answer
    x = 28,121.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.