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Finding the Third Proportional to 49,284.56 and 65,512.69

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Solution

The third proportional to 49,284.56 and 65,512.69 is: 87,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,284.56 : 65,512.69 = 65,512.69 : x
  2. Step 2: Convert to fraction form
    49,284.56/65,512.69 = 65,512.69/x
  3. Step 3: Cross multiply
    49,284.56x = 65,512.69 × 65,512.69
  4. Step 4: Simplify right side
    49,284.56x = 4,291,912,223.47
  5. Step 5: Solve for x
    x = 4,291,912,223.47/49,284.56
  6. Step 6: Final answer
    x = 87,084.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.