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Finding the Third Proportional to 12,286.69 and 26,654.06

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Solution

The third proportional to 12,286.69 and 26,654.06 is: 57,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 26,654.06 = 26,654.06 : x
  2. Step 2: Convert to fraction form
    12,286.69/26,654.06 = 26,654.06/x
  3. Step 3: Cross multiply
    12,286.69x = 26,654.06 × 26,654.06
  4. Step 4: Simplify right side
    12,286.69x = 710,439,047.75
  5. Step 5: Solve for x
    x = 710,439,047.75/12,286.69
  6. Step 6: Final answer
    x = 57,821.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.