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Finding the Third Proportional to 2,249.65 and 4,672.05

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Solution

The third proportional to 2,249.65 and 4,672.05 is: 9,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.65 : 4,672.05 = 4,672.05 : x
  2. Step 2: Convert to fraction form
    2,249.65/4,672.05 = 4,672.05/x
  3. Step 3: Cross multiply
    2,249.65x = 4,672.05 × 4,672.05
  4. Step 4: Simplify right side
    2,249.65x = 21,828,095.00
  5. Step 5: Solve for x
    x = 21,828,095.00/2,249.65
  6. Step 6: Final answer
    x = 9,702.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.