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Finding the Third Proportional to 31,566.75 and 69,360.75

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Solution

The third proportional to 31,566.75 and 69,360.75 is: 152,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.75 : 69,360.75 = 69,360.75 : x
  2. Step 2: Convert to fraction form
    31,566.75/69,360.75 = 69,360.75/x
  3. Step 3: Cross multiply
    31,566.75x = 69,360.75 × 69,360.75
  4. Step 4: Simplify right side
    31,566.75x = 4,810,913,640.56
  5. Step 5: Solve for x
    x = 4,810,913,640.56/31,566.75
  6. Step 6: Final answer
    x = 152,404.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.