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Finding the Third Proportional to 34,642.69 and 49,351.78

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Solution

The third proportional to 34,642.69 and 49,351.78 is: 70,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.69 : 49,351.78 = 49,351.78 : x
  2. Step 2: Convert to fraction form
    34,642.69/49,351.78 = 49,351.78/x
  3. Step 3: Cross multiply
    34,642.69x = 49,351.78 × 49,351.78
  4. Step 4: Simplify right side
    34,642.69x = 2,435,598,312.55
  5. Step 5: Solve for x
    x = 2,435,598,312.55/34,642.69
  6. Step 6: Final answer
    x = 70,306.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.