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Finding the Third Proportional to 32,422.50 and 49,299.75

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Solution

The third proportional to 32,422.50 and 49,299.75 is: 74,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.50 : 49,299.75 = 49,299.75 : x
  2. Step 2: Convert to fraction form
    32,422.50/49,299.75 = 49,299.75/x
  3. Step 3: Cross multiply
    32,422.50x = 49,299.75 × 49,299.75
  4. Step 4: Simplify right side
    32,422.50x = 2,430,465,350.06
  5. Step 5: Solve for x
    x = 2,430,465,350.06/32,422.50
  6. Step 6: Final answer
    x = 74,962.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.