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Finding the Third Proportional to 32,888 and 49,747

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Solution

The third proportional to 32,888 and 49,747 is: 75,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 49,747 = 49,747 : x
  2. Step 2: Convert to fraction form
    32,888/49,747 = 49,747/x
  3. Step 3: Cross multiply
    32,888x = 49,747 × 49,747
  4. Step 4: Simplify right side
    32,888x = 2,474,764,009
  5. Step 5: Solve for x
    x = 2,474,764,009/32,888
  6. Step 6: Final answer
    x = 75,248.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.