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Finding the Third Proportional to 32,776.88 and 49,147.31

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Solution

The third proportional to 32,776.88 and 49,147.31 is: 73,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.88 : 49,147.31 = 49,147.31 : x
  2. Step 2: Convert to fraction form
    32,776.88/49,147.31 = 49,147.31/x
  3. Step 3: Cross multiply
    32,776.88x = 49,147.31 × 49,147.31
  4. Step 4: Simplify right side
    32,776.88x = 2,415,458,325.97
  5. Step 5: Solve for x
    x = 2,415,458,325.97/32,776.88
  6. Step 6: Final answer
    x = 73,693.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.