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Finding the Third Proportional to 31,691.75 and 47,051.50

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Solution

The third proportional to 31,691.75 and 47,051.50 is: 69,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.75 : 47,051.50 = 47,051.50 : x
  2. Step 2: Convert to fraction form
    31,691.75/47,051.50 = 47,051.50/x
  3. Step 3: Cross multiply
    31,691.75x = 47,051.50 × 47,051.50
  4. Step 4: Simplify right side
    31,691.75x = 2,213,843,652.25
  5. Step 5: Solve for x
    x = 2,213,843,652.25/31,691.75
  6. Step 6: Final answer
    x = 69,855.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.