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Finding the Third Proportional to 7,414.75 and 10,008.38

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Solution

The third proportional to 7,414.75 and 10,008.38 is: 13,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.75 : 10,008.38 = 10,008.38 : x
  2. Step 2: Convert to fraction form
    7,414.75/10,008.38 = 10,008.38/x
  3. Step 3: Cross multiply
    7,414.75x = 10,008.38 × 10,008.38
  4. Step 4: Simplify right side
    7,414.75x = 100,167,570.14
  5. Step 5: Solve for x
    x = 100,167,570.14/7,414.75
  6. Step 6: Final answer
    x = 13,509.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.