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Finding the Third Proportional to 44,097.75 and 66,251.25

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Solution

The third proportional to 44,097.75 and 66,251.25 is: 99,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,097.75 : 66,251.25 = 66,251.25 : x
  2. Step 2: Convert to fraction form
    44,097.75/66,251.25 = 66,251.25/x
  3. Step 3: Cross multiply
    44,097.75x = 66,251.25 × 66,251.25
  4. Step 4: Simplify right side
    44,097.75x = 4,389,228,126.56
  5. Step 5: Solve for x
    x = 4,389,228,126.56/44,097.75
  6. Step 6: Final answer
    x = 99,534.06

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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.