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Finding the Third Proportional to 13,231.88 and 18,808.13

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Solution

The third proportional to 13,231.88 and 18,808.13 is: 26,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.88 : 18,808.13 = 18,808.13 : x
  2. Step 2: Convert to fraction form
    13,231.88/18,808.13 = 18,808.13/x
  3. Step 3: Cross multiply
    13,231.88x = 18,808.13 × 18,808.13
  4. Step 4: Simplify right side
    13,231.88x = 353,745,566.02
  5. Step 5: Solve for x
    x = 353,745,566.02/13,231.88
  6. Step 6: Final answer
    x = 26,734.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.