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Finding the Third Proportional to 8,233.31 and 12,771.84

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Solution

The third proportional to 8,233.31 and 12,771.84 is: 19,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.31 : 12,771.84 = 12,771.84 : x
  2. Step 2: Convert to fraction form
    8,233.31/12,771.84 = 12,771.84/x
  3. Step 3: Cross multiply
    8,233.31x = 12,771.84 × 12,771.84
  4. Step 4: Simplify right side
    8,233.31x = 163,119,992.77
  5. Step 5: Solve for x
    x = 163,119,992.77/8,233.31
  6. Step 6: Final answer
    x = 19,812.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.