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Finding the Third Proportional to 32,345.75 and 49,101.75

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Solution

The third proportional to 32,345.75 and 49,101.75 is: 74,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.75 : 49,101.75 = 49,101.75 : x
  2. Step 2: Convert to fraction form
    32,345.75/49,101.75 = 49,101.75/x
  3. Step 3: Cross multiply
    32,345.75x = 49,101.75 × 49,101.75
  4. Step 4: Simplify right side
    32,345.75x = 2,410,981,853.06
  5. Step 5: Solve for x
    x = 2,410,981,853.06/32,345.75
  6. Step 6: Final answer
    x = 74,537.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.