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Finding the Third Proportional to 32,398.50 and 50,713.88

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Solution

The third proportional to 32,398.50 and 50,713.88 is: 79,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.50 : 50,713.88 = 50,713.88 : x
  2. Step 2: Convert to fraction form
    32,398.50/50,713.88 = 50,713.88/x
  3. Step 3: Cross multiply
    32,398.50x = 50,713.88 × 50,713.88
  4. Step 4: Simplify right side
    32,398.50x = 2,571,897,117.52
  5. Step 5: Solve for x
    x = 2,571,897,117.52/32,398.50
  6. Step 6: Final answer
    x = 79,383.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.