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Finding the Third Proportional to 992.25 and 2,136.38

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Solution

The third proportional to 992.25 and 2,136.38 is: 4,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 2,136.38 = 2,136.38 : x
  2. Step 2: Convert to fraction form
    992.25/2,136.38 = 2,136.38/x
  3. Step 3: Cross multiply
    992.25x = 2,136.38 × 2,136.38
  4. Step 4: Simplify right side
    992.25x = 4,564,098.14
  5. Step 5: Solve for x
    x = 4,564,098.14/992.25
  6. Step 6: Final answer
    x = 4,599.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.