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Finding the Third Proportional to 12,902.63 and 29,836.69

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Solution

The third proportional to 12,902.63 and 29,836.69 is: 68,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.63 : 29,836.69 = 29,836.69 : x
  2. Step 2: Convert to fraction form
    12,902.63/29,836.69 = 29,836.69/x
  3. Step 3: Cross multiply
    12,902.63x = 29,836.69 × 29,836.69
  4. Step 4: Simplify right side
    12,902.63x = 890,227,920.97
  5. Step 5: Solve for x
    x = 890,227,920.97/12,902.63
  6. Step 6: Final answer
    x = 68,995.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.