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Finding the Third Proportional to 31,070.25 and 48,819.75

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Solution

The third proportional to 31,070.25 and 48,819.75 is: 76,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.25 : 48,819.75 = 48,819.75 : x
  2. Step 2: Convert to fraction form
    31,070.25/48,819.75 = 48,819.75/x
  3. Step 3: Cross multiply
    31,070.25x = 48,819.75 × 48,819.75
  4. Step 4: Simplify right side
    31,070.25x = 2,383,367,990.06
  5. Step 5: Solve for x
    x = 2,383,367,990.06/31,070.25
  6. Step 6: Final answer
    x = 76,709.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.