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Finding the Third Proportional to 31,584.88 and 69,104.38

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Solution

The third proportional to 31,584.88 and 69,104.38 is: 151,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.88 : 69,104.38 = 69,104.38 : x
  2. Step 2: Convert to fraction form
    31,584.88/69,104.38 = 69,104.38/x
  3. Step 3: Cross multiply
    31,584.88x = 69,104.38 × 69,104.38
  4. Step 4: Simplify right side
    31,584.88x = 4,775,414,644.14
  5. Step 5: Solve for x
    x = 4,775,414,644.14/31,584.88
  6. Step 6: Final answer
    x = 151,193.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.