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Finding the Third Proportional to 32,410.13 and 50,323.78

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Solution

The third proportional to 32,410.13 and 50,323.78 is: 78,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 50,323.78 = 50,323.78 : x
  2. Step 2: Convert to fraction form
    32,410.13/50,323.78 = 50,323.78/x
  3. Step 3: Cross multiply
    32,410.13x = 50,323.78 × 50,323.78
  4. Step 4: Simplify right side
    32,410.13x = 2,532,482,959.30
  5. Step 5: Solve for x
    x = 2,532,482,959.30/32,410.13
  6. Step 6: Final answer
    x = 78,138.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.