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Finding the Third Proportional to 7,380.38 and 15,927.19

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Solution

The third proportional to 7,380.38 and 15,927.19 is: 34,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.38 : 15,927.19 = 15,927.19 : x
  2. Step 2: Convert to fraction form
    7,380.38/15,927.19 = 15,927.19/x
  3. Step 3: Cross multiply
    7,380.38x = 15,927.19 × 15,927.19
  4. Step 4: Simplify right side
    7,380.38x = 253,675,301.66
  5. Step 5: Solve for x
    x = 253,675,301.66/7,380.38
  6. Step 6: Final answer
    x = 34,371.60

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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.