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Finding the Third Proportional to 32,086.72 and 49,880.07

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Solution

The third proportional to 32,086.72 and 49,880.07 is: 77,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.72 : 49,880.07 = 49,880.07 : x
  2. Step 2: Convert to fraction form
    32,086.72/49,880.07 = 49,880.07/x
  3. Step 3: Cross multiply
    32,086.72x = 49,880.07 × 49,880.07
  4. Step 4: Simplify right side
    32,086.72x = 2,488,021,804.07
  5. Step 5: Solve for x
    x = 2,488,021,804.07/32,086.72
  6. Step 6: Final answer
    x = 77,540.54

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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.