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Finding the Third Proportional to 31,684.92 and 49,044.23

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Solution

The third proportional to 31,684.92 and 49,044.23 is: 75,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.92 : 49,044.23 = 49,044.23 : x
  2. Step 2: Convert to fraction form
    31,684.92/49,044.23 = 49,044.23/x
  3. Step 3: Cross multiply
    31,684.92x = 49,044.23 × 49,044.23
  4. Step 4: Simplify right side
    31,684.92x = 2,405,336,925.43
  5. Step 5: Solve for x
    x = 2,405,336,925.43/31,684.92
  6. Step 6: Final answer
    x = 75,914.25

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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.