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Finding the Third Proportional to 11,289 and 22,854

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Solution

The third proportional to 11,289 and 22,854 is: 46,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 22,854 = 22,854 : x
  2. Step 2: Convert to fraction form
    11,289/22,854 = 22,854/x
  3. Step 3: Cross multiply
    11,289x = 22,854 × 22,854
  4. Step 4: Simplify right side
    11,289x = 522,305,316
  5. Step 5: Solve for x
    x = 522,305,316/11,289
  6. Step 6: Final answer
    x = 46,266.75

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.