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Finding the Third Proportional to 31,864.75 and 70,020.25

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Solution

The third proportional to 31,864.75 and 70,020.25 is: 153,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.75 : 70,020.25 = 70,020.25 : x
  2. Step 2: Convert to fraction form
    31,864.75/70,020.25 = 70,020.25/x
  3. Step 3: Cross multiply
    31,864.75x = 70,020.25 × 70,020.25
  4. Step 4: Simplify right side
    31,864.75x = 4,902,835,410.06
  5. Step 5: Solve for x
    x = 4,902,835,410.06/31,864.75
  6. Step 6: Final answer
    x = 153,863.92

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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.