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Finding the Third Proportional to 23,631.75 and 32,713.88

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Solution

The third proportional to 23,631.75 and 32,713.88 is: 45,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 32,713.88 = 32,713.88 : x
  2. Step 2: Convert to fraction form
    23,631.75/32,713.88 = 32,713.88/x
  3. Step 3: Cross multiply
    23,631.75x = 32,713.88 × 32,713.88
  4. Step 4: Simplify right side
    23,631.75x = 1,070,197,617.52
  5. Step 5: Solve for x
    x = 1,070,197,617.52/23,631.75
  6. Step 6: Final answer
    x = 45,286.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.