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Finding the Third Proportional to 7,563.38 and 11,734.88

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Solution

The third proportional to 7,563.38 and 11,734.88 is: 18,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.38 : 11,734.88 = 11,734.88 : x
  2. Step 2: Convert to fraction form
    7,563.38/11,734.88 = 11,734.88/x
  3. Step 3: Cross multiply
    7,563.38x = 11,734.88 × 11,734.88
  4. Step 4: Simplify right side
    7,563.38x = 137,707,291.27
  5. Step 5: Solve for x
    x = 137,707,291.27/7,563.38
  6. Step 6: Final answer
    x = 18,207.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.