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Finding the Third Proportional to 34,681.75 and 52,022.75

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Solution

The third proportional to 34,681.75 and 52,022.75 is: 78,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.75 : 52,022.75 = 52,022.75 : x
  2. Step 2: Convert to fraction form
    34,681.75/52,022.75 = 52,022.75/x
  3. Step 3: Cross multiply
    34,681.75x = 52,022.75 × 52,022.75
  4. Step 4: Simplify right side
    34,681.75x = 2,706,366,517.56
  5. Step 5: Solve for x
    x = 2,706,366,517.56/34,681.75
  6. Step 6: Final answer
    x = 78,034.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.