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Finding the Third Proportional to 992.67 and 1,472.13

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Solution

The third proportional to 992.67 and 1,472.13 is: 2,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.67 : 1,472.13 = 1,472.13 : x
  2. Step 2: Convert to fraction form
    992.67/1,472.13 = 1,472.13/x
  3. Step 3: Cross multiply
    992.67x = 1,472.13 × 1,472.13
  4. Step 4: Simplify right side
    992.67x = 2,167,175.02
  5. Step 5: Solve for x
    x = 2,167,175.02/992.67
  6. Step 6: Final answer
    x = 2,183.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.