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Finding the Third Proportional to 7,538.06 and 13,149.84

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Solution

The third proportional to 7,538.06 and 13,149.84 is: 22,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.06 : 13,149.84 = 13,149.84 : x
  2. Step 2: Convert to fraction form
    7,538.06/13,149.84 = 13,149.84/x
  3. Step 3: Cross multiply
    7,538.06x = 13,149.84 × 13,149.84
  4. Step 4: Simplify right side
    7,538.06x = 172,918,390.65
  5. Step 5: Solve for x
    x = 172,918,390.65/7,538.06
  6. Step 6: Final answer
    x = 22,939.37

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.