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Finding the Third Proportional to 32,198.63 and 49,258.97

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Solution

The third proportional to 32,198.63 and 49,258.97 is: 75,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.63 : 49,258.97 = 49,258.97 : x
  2. Step 2: Convert to fraction form
    32,198.63/49,258.97 = 49,258.97/x
  3. Step 3: Cross multiply
    32,198.63x = 49,258.97 × 49,258.97
  4. Step 4: Simplify right side
    32,198.63x = 2,426,446,002.31
  5. Step 5: Solve for x
    x = 2,426,446,002.31/32,198.63
  6. Step 6: Final answer
    x = 75,358.68

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