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Finding the Third Proportional to 31,762.13 and 49,951.69

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Solution

The third proportional to 31,762.13 and 49,951.69 is: 78,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.13 : 49,951.69 = 49,951.69 : x
  2. Step 2: Convert to fraction form
    31,762.13/49,951.69 = 49,951.69/x
  3. Step 3: Cross multiply
    31,762.13x = 49,951.69 × 49,951.69
  4. Step 4: Simplify right side
    31,762.13x = 2,495,171,084.10
  5. Step 5: Solve for x
    x = 2,495,171,084.10/31,762.13
  6. Step 6: Final answer
    x = 78,558.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.