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Finding the Third Proportional to 59,519.81 and 80,835.47

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Solution

The third proportional to 59,519.81 and 80,835.47 is: 109,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,519.81 : 80,835.47 = 80,835.47 : x
  2. Step 2: Convert to fraction form
    59,519.81/80,835.47 = 80,835.47/x
  3. Step 3: Cross multiply
    59,519.81x = 80,835.47 × 80,835.47
  4. Step 4: Simplify right side
    59,519.81x = 6,534,373,008.03
  5. Step 5: Solve for x
    x = 6,534,373,008.03/59,519.81
  6. Step 6: Final answer
    x = 109,784.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.