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Finding the Third Proportional to 32,240.50 and 45,660.75

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Solution

The third proportional to 32,240.50 and 45,660.75 is: 64,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240.50 : 45,660.75 = 45,660.75 : x
  2. Step 2: Convert to fraction form
    32,240.50/45,660.75 = 45,660.75/x
  3. Step 3: Cross multiply
    32,240.50x = 45,660.75 × 45,660.75
  4. Step 4: Simplify right side
    32,240.50x = 2,084,904,090.56
  5. Step 5: Solve for x
    x = 2,084,904,090.56/32,240.50
  6. Step 6: Final answer
    x = 64,667.24

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.