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Finding the Third Proportional to 32,195.81 and 49,250.81

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Solution

The third proportional to 32,195.81 and 49,250.81 is: 75,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.81 : 49,250.81 = 49,250.81 : x
  2. Step 2: Convert to fraction form
    32,195.81/49,250.81 = 49,250.81/x
  3. Step 3: Cross multiply
    32,195.81x = 49,250.81 × 49,250.81
  4. Step 4: Simplify right side
    32,195.81x = 2,425,642,531.91
  5. Step 5: Solve for x
    x = 2,425,642,531.91/32,195.81
  6. Step 6: Final answer
    x = 75,340.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.