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Finding the Third Proportional to 31,590.84 and 68,718.38

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Solution

The third proportional to 31,590.84 and 68,718.38 is: 149,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.84 : 68,718.38 = 68,718.38 : x
  2. Step 2: Convert to fraction form
    31,590.84/68,718.38 = 68,718.38/x
  3. Step 3: Cross multiply
    31,590.84x = 68,718.38 × 68,718.38
  4. Step 4: Simplify right side
    31,590.84x = 4,722,215,062.64
  5. Step 5: Solve for x
    x = 4,722,215,062.64/31,590.84
  6. Step 6: Final answer
    x = 149,480.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.