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Finding the Third Proportional to 32,275.13 and 49,850.44

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Solution

The third proportional to 32,275.13 and 49,850.44 is: 76,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,275.13 : 49,850.44 = 49,850.44 : x
  2. Step 2: Convert to fraction form
    32,275.13/49,850.44 = 49,850.44/x
  3. Step 3: Cross multiply
    32,275.13x = 49,850.44 × 49,850.44
  4. Step 4: Simplify right side
    32,275.13x = 2,485,066,118.94
  5. Step 5: Solve for x
    x = 2,485,066,118.94/32,275.13
  6. Step 6: Final answer
    x = 76,996.33

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Why These Related Problems?

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