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Finding the Third Proportional to 7,974.38 and 17,224.13

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Solution

The third proportional to 7,974.38 and 17,224.13 is: 37,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.38 : 17,224.13 = 17,224.13 : x
  2. Step 2: Convert to fraction form
    7,974.38/17,224.13 = 17,224.13/x
  3. Step 3: Cross multiply
    7,974.38x = 17,224.13 × 17,224.13
  4. Step 4: Simplify right side
    7,974.38x = 296,670,482.02
  5. Step 5: Solve for x
    x = 296,670,482.02/7,974.38
  6. Step 6: Final answer
    x = 37,202.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.