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Finding the Third Proportional to 32,169.38 and 49,712.63

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Solution

The third proportional to 32,169.38 and 49,712.63 is: 76,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.38 : 49,712.63 = 49,712.63 : x
  2. Step 2: Convert to fraction form
    32,169.38/49,712.63 = 49,712.63/x
  3. Step 3: Cross multiply
    32,169.38x = 49,712.63 × 49,712.63
  4. Step 4: Simplify right side
    32,169.38x = 2,471,345,084.39
  5. Step 5: Solve for x
    x = 2,471,345,084.39/32,169.38
  6. Step 6: Final answer
    x = 76,822.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.