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Finding the Third Proportional to 31,779.84 and 68,514.61

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Solution

The third proportional to 31,779.84 and 68,514.61 is: 147,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 68,514.61 = 68,514.61 : x
  2. Step 2: Convert to fraction form
    31,779.84/68,514.61 = 68,514.61/x
  3. Step 3: Cross multiply
    31,779.84x = 68,514.61 × 68,514.61
  4. Step 4: Simplify right side
    31,779.84x = 4,694,251,697.81
  5. Step 5: Solve for x
    x = 4,694,251,697.81/31,779.84
  6. Step 6: Final answer
    x = 147,711.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.