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Finding the Third Proportional to 32,772 and 49,429.50

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Solution

The third proportional to 32,772 and 49,429.50 is: 74,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 49,429.50 = 49,429.50 : x
  2. Step 2: Convert to fraction form
    32,772/49,429.50 = 49,429.50/x
  3. Step 3: Cross multiply
    32,772x = 49,429.50 × 49,429.50
  4. Step 4: Simplify right side
    32,772x = 2,443,275,470.25
  5. Step 5: Solve for x
    x = 2,443,275,470.25/32,772
  6. Step 6: Final answer
    x = 74,553.75

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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.