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Finding the Third Proportional to 13,231.48 and 28,381.64

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Solution

The third proportional to 13,231.48 and 28,381.64 is: 60,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.48 : 28,381.64 = 28,381.64 : x
  2. Step 2: Convert to fraction form
    13,231.48/28,381.64 = 28,381.64/x
  3. Step 3: Cross multiply
    13,231.48x = 28,381.64 × 28,381.64
  4. Step 4: Simplify right side
    13,231.48x = 805,517,524.57
  5. Step 5: Solve for x
    x = 805,517,524.57/13,231.48
  6. Step 6: Final answer
    x = 60,878.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.