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Finding the Third Proportional to 32,713.88 and 50,351.63

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Solution

The third proportional to 32,713.88 and 50,351.63 is: 77,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.88 : 50,351.63 = 50,351.63 : x
  2. Step 2: Convert to fraction form
    32,713.88/50,351.63 = 50,351.63/x
  3. Step 3: Cross multiply
    32,713.88x = 50,351.63 × 50,351.63
  4. Step 4: Simplify right side
    32,713.88x = 2,535,286,140.14
  5. Step 5: Solve for x
    x = 2,535,286,140.14/32,713.88
  6. Step 6: Final answer
    x = 77,498.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.