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Finding the Third Proportional to 2,267.16 and 4,807.69

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Solution

The third proportional to 2,267.16 and 4,807.69 is: 10,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.16 : 4,807.69 = 4,807.69 : x
  2. Step 2: Convert to fraction form
    2,267.16/4,807.69 = 4,807.69/x
  3. Step 3: Cross multiply
    2,267.16x = 4,807.69 × 4,807.69
  4. Step 4: Simplify right side
    2,267.16x = 23,113,859.10
  5. Step 5: Solve for x
    x = 23,113,859.10/2,267.16
  6. Step 6: Final answer
    x = 10,195.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.