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Finding the Third Proportional to 972.56 and 1,882.13

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Solution

The third proportional to 972.56 and 1,882.13 is: 3,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 1,882.13 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    972.56/1,882.13 = 1,882.13/x
  3. Step 3: Cross multiply
    972.56x = 1,882.13 × 1,882.13
  4. Step 4: Simplify right side
    972.56x = 3,542,394.52
  5. Step 5: Solve for x
    x = 3,542,394.52/972.56
  6. Step 6: Final answer
    x = 3,642.33

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.