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Finding the Third Proportional to 32,617.69 and 49,979.53

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Solution

The third proportional to 32,617.69 and 49,979.53 is: 76,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.69 : 49,979.53 = 49,979.53 : x
  2. Step 2: Convert to fraction form
    32,617.69/49,979.53 = 49,979.53/x
  3. Step 3: Cross multiply
    32,617.69x = 49,979.53 × 49,979.53
  4. Step 4: Simplify right side
    32,617.69x = 2,497,953,543.97
  5. Step 5: Solve for x
    x = 2,497,953,543.97/32,617.69
  6. Step 6: Final answer
    x = 76,582.79

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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.