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Finding the Third Proportional to 3,715.31 and 4,140.56

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Solution

The third proportional to 3,715.31 and 4,140.56 is: 4,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.31 : 4,140.56 = 4,140.56 : x
  2. Step 2: Convert to fraction form
    3,715.31/4,140.56 = 4,140.56/x
  3. Step 3: Cross multiply
    3,715.31x = 4,140.56 × 4,140.56
  4. Step 4: Simplify right side
    3,715.31x = 17,144,257.82
  5. Step 5: Solve for x
    x = 17,144,257.82/3,715.31
  6. Step 6: Final answer
    x = 4,614.49

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.