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Finding the Third Proportional to 2,286.67 and 4,752.74

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Solution

The third proportional to 2,286.67 and 4,752.74 is: 9,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.67 : 4,752.74 = 4,752.74 : x
  2. Step 2: Convert to fraction form
    2,286.67/4,752.74 = 4,752.74/x
  3. Step 3: Cross multiply
    2,286.67x = 4,752.74 × 4,752.74
  4. Step 4: Simplify right side
    2,286.67x = 22,588,521.17
  5. Step 5: Solve for x
    x = 22,588,521.17/2,286.67
  6. Step 6: Final answer
    x = 9,878.36

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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.