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Finding the Third Proportional to 15,711.75 and 35,530.88

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Solution

The third proportional to 15,711.75 and 35,530.88 is: 80,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.75 : 35,530.88 = 35,530.88 : x
  2. Step 2: Convert to fraction form
    15,711.75/35,530.88 = 35,530.88/x
  3. Step 3: Cross multiply
    15,711.75x = 35,530.88 × 35,530.88
  4. Step 4: Simplify right side
    15,711.75x = 1,262,443,078.27
  5. Step 5: Solve for x
    x = 1,262,443,078.27/15,711.75
  6. Step 6: Final answer
    x = 80,350.25

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.