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Finding the Third Proportional to 7,836.75 and 12,001.13

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Solution

The third proportional to 7,836.75 and 12,001.13 is: 18,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 12,001.13 = 12,001.13 : x
  2. Step 2: Convert to fraction form
    7,836.75/12,001.13 = 12,001.13/x
  3. Step 3: Cross multiply
    7,836.75x = 12,001.13 × 12,001.13
  4. Step 4: Simplify right side
    7,836.75x = 144,027,001.27
  5. Step 5: Solve for x
    x = 144,027,001.27/7,836.75
  6. Step 6: Final answer
    x = 18,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.