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Finding the Third Proportional to 12,836.81 and 17,170.31

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Solution

The third proportional to 12,836.81 and 17,170.31 is: 22,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.81 : 17,170.31 = 17,170.31 : x
  2. Step 2: Convert to fraction form
    12,836.81/17,170.31 = 17,170.31/x
  3. Step 3: Cross multiply
    12,836.81x = 17,170.31 × 17,170.31
  4. Step 4: Simplify right side
    12,836.81x = 294,819,631.35
  5. Step 5: Solve for x
    x = 294,819,631.35/12,836.81
  6. Step 6: Final answer
    x = 22,966.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.