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Finding the Third Proportional to 32,117.06 and 49,404.09

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Solution

The third proportional to 32,117.06 and 49,404.09 is: 75,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.06 : 49,404.09 = 49,404.09 : x
  2. Step 2: Convert to fraction form
    32,117.06/49,404.09 = 49,404.09/x
  3. Step 3: Cross multiply
    32,117.06x = 49,404.09 × 49,404.09
  4. Step 4: Simplify right side
    32,117.06x = 2,440,764,479.26
  5. Step 5: Solve for x
    x = 2,440,764,479.26/32,117.06
  6. Step 6: Final answer
    x = 75,995.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.