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Finding the Third Proportional to 8,972.25 and 19,499.33

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Solution

The third proportional to 8,972.25 and 19,499.33 is: 42,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.25 : 19,499.33 = 19,499.33 : x
  2. Step 2: Convert to fraction form
    8,972.25/19,499.33 = 19,499.33/x
  3. Step 3: Cross multiply
    8,972.25x = 19,499.33 × 19,499.33
  4. Step 4: Simplify right side
    8,972.25x = 380,223,721.16
  5. Step 5: Solve for x
    x = 380,223,721.16/8,972.25
  6. Step 6: Final answer
    x = 42,377.73

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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.