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Finding the Third Proportional to 31,864.13 and 70,019.25

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Solution

The third proportional to 31,864.13 and 70,019.25 is: 153,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.13 : 70,019.25 = 70,019.25 : x
  2. Step 2: Convert to fraction form
    31,864.13/70,019.25 = 70,019.25/x
  3. Step 3: Cross multiply
    31,864.13x = 70,019.25 × 70,019.25
  4. Step 4: Simplify right side
    31,864.13x = 4,902,695,370.56
  5. Step 5: Solve for x
    x = 4,902,695,370.56/31,864.13
  6. Step 6: Final answer
    x = 153,862.55

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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.