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Finding the Third Proportional to 31,876.88 and 69,813.56

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Solution

The third proportional to 31,876.88 and 69,813.56 is: 152,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.88 : 69,813.56 = 69,813.56 : x
  2. Step 2: Convert to fraction form
    31,876.88/69,813.56 = 69,813.56/x
  3. Step 3: Cross multiply
    31,876.88x = 69,813.56 × 69,813.56
  4. Step 4: Simplify right side
    31,876.88x = 4,873,933,508.94
  5. Step 5: Solve for x
    x = 4,873,933,508.94/31,876.88
  6. Step 6: Final answer
    x = 152,898.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.