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Finding the Third Proportional to 31,286.25 and 64,648.13

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Solution

The third proportional to 31,286.25 and 64,648.13 is: 133,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 64,648.13 = 64,648.13 : x
  2. Step 2: Convert to fraction form
    31,286.25/64,648.13 = 64,648.13/x
  3. Step 3: Cross multiply
    31,286.25x = 64,648.13 × 64,648.13
  4. Step 4: Simplify right side
    31,286.25x = 4,179,380,066.02
  5. Step 5: Solve for x
    x = 4,179,380,066.02/31,286.25
  6. Step 6: Final answer
    x = 133,585.20

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.