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Finding the Third Proportional to 5,763.66 and 9,249.19

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Solution

The third proportional to 5,763.66 and 9,249.19 is: 14,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.66 : 9,249.19 = 9,249.19 : x
  2. Step 2: Convert to fraction form
    5,763.66/9,249.19 = 9,249.19/x
  3. Step 3: Cross multiply
    5,763.66x = 9,249.19 × 9,249.19
  4. Step 4: Simplify right side
    5,763.66x = 85,547,469.41
  5. Step 5: Solve for x
    x = 85,547,469.41/5,763.66
  6. Step 6: Final answer
    x = 14,842.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.