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Finding the Third Proportional to 52,084.75 and 73,747.75

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Solution

The third proportional to 52,084.75 and 73,747.75 is: 104,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.75 : 73,747.75 = 73,747.75 : x
  2. Step 2: Convert to fraction form
    52,084.75/73,747.75 = 73,747.75/x
  3. Step 3: Cross multiply
    52,084.75x = 73,747.75 × 73,747.75
  4. Step 4: Simplify right side
    52,084.75x = 5,438,730,630.06
  5. Step 5: Solve for x
    x = 5,438,730,630.06/52,084.75
  6. Step 6: Final answer
    x = 104,420.79

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Why These Related Problems?

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