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Finding the Third Proportional to 9,267.75 and 12,538.13

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Solution

The third proportional to 9,267.75 and 12,538.13 is: 16,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 12,538.13 = 12,538.13 : x
  2. Step 2: Convert to fraction form
    9,267.75/12,538.13 = 12,538.13/x
  3. Step 3: Cross multiply
    9,267.75x = 12,538.13 × 12,538.13
  4. Step 4: Simplify right side
    9,267.75x = 157,204,578.52
  5. Step 5: Solve for x
    x = 157,204,578.52/9,267.75
  6. Step 6: Final answer
    x = 16,962.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.