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Finding the Third Proportional to 31,924.13 and 68,720.06

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Solution

The third proportional to 31,924.13 and 68,720.06 is: 147,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.13 : 68,720.06 = 68,720.06 : x
  2. Step 2: Convert to fraction form
    31,924.13/68,720.06 = 68,720.06/x
  3. Step 3: Cross multiply
    31,924.13x = 68,720.06 × 68,720.06
  4. Step 4: Simplify right side
    31,924.13x = 4,722,446,990.00
  5. Step 5: Solve for x
    x = 4,722,446,990.00/31,924.13
  6. Step 6: Final answer
    x = 147,927.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.