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Finding the Third Proportional to 1,136.81 and 1,882.13

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Solution

The third proportional to 1,136.81 and 1,882.13 is: 3,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.81 : 1,882.13 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    1,136.81/1,882.13 = 1,882.13/x
  3. Step 3: Cross multiply
    1,136.81x = 1,882.13 × 1,882.13
  4. Step 4: Simplify right side
    1,136.81x = 3,542,394.52
  5. Step 5: Solve for x
    x = 3,542,394.52/1,136.81
  6. Step 6: Final answer
    x = 3,116.08

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.