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Finding the Third Proportional to 31,231 and 49,951.50

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Solution

The third proportional to 31,231 and 49,951.50 is: 79,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231 : 49,951.50 = 49,951.50 : x
  2. Step 2: Convert to fraction form
    31,231/49,951.50 = 49,951.50/x
  3. Step 3: Cross multiply
    31,231x = 49,951.50 × 49,951.50
  4. Step 4: Simplify right side
    31,231x = 2,495,152,352.25
  5. Step 5: Solve for x
    x = 2,495,152,352.25/31,231
  6. Step 6: Final answer
    x = 79,893.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.