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Finding the Third Proportional to 31,819.08 and 62,835.05

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Solution

The third proportional to 31,819.08 and 62,835.05 is: 124,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819.08 : 62,835.05 = 62,835.05 : x
  2. Step 2: Convert to fraction form
    31,819.08/62,835.05 = 62,835.05/x
  3. Step 3: Cross multiply
    31,819.08x = 62,835.05 × 62,835.05
  4. Step 4: Simplify right side
    31,819.08x = 3,948,243,115.78
  5. Step 5: Solve for x
    x = 3,948,243,115.78/31,819.08
  6. Step 6: Final answer
    x = 124,084.15

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.