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Finding the Third Proportional to 31,815.75 and 68,548.88

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Solution

The third proportional to 31,815.75 and 68,548.88 is: 147,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815.75 : 68,548.88 = 68,548.88 : x
  2. Step 2: Convert to fraction form
    31,815.75/68,548.88 = 68,548.88/x
  3. Step 3: Cross multiply
    31,815.75x = 68,548.88 × 68,548.88
  4. Step 4: Simplify right side
    31,815.75x = 4,698,948,263.77
  5. Step 5: Solve for x
    x = 4,698,948,263.77/31,815.75
  6. Step 6: Final answer
    x = 147,692.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.