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Finding the Third Proportional to 2,289 and 4,997.63

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Solution

The third proportional to 2,289 and 4,997.63 is: 10,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 4,997.63 = 4,997.63 : x
  2. Step 2: Convert to fraction form
    2,289/4,997.63 = 4,997.63/x
  3. Step 3: Cross multiply
    2,289x = 4,997.63 × 4,997.63
  4. Step 4: Simplify right side
    2,289x = 24,976,255.64
  5. Step 5: Solve for x
    x = 24,976,255.64/2,289
  6. Step 6: Final answer
    x = 10,911.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.