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Finding the Third Proportional to 31,687.88 and 69,572.25

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Solution

The third proportional to 31,687.88 and 69,572.25 is: 152,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.88 : 69,572.25 = 69,572.25 : x
  2. Step 2: Convert to fraction form
    31,687.88/69,572.25 = 69,572.25/x
  3. Step 3: Cross multiply
    31,687.88x = 69,572.25 × 69,572.25
  4. Step 4: Simplify right side
    31,687.88x = 4,840,297,970.06
  5. Step 5: Solve for x
    x = 4,840,297,970.06/31,687.88
  6. Step 6: Final answer
    x = 152,749.21

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