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Finding the Third Proportional to 22,854 and 34,278

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Solution

The third proportional to 22,854 and 34,278 is: 51,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854 : 34,278 = 34,278 : x
  2. Step 2: Convert to fraction form
    22,854/34,278 = 34,278/x
  3. Step 3: Cross multiply
    22,854x = 34,278 × 34,278
  4. Step 4: Simplify right side
    22,854x = 1,174,981,284
  5. Step 5: Solve for x
    x = 1,174,981,284/22,854
  6. Step 6: Final answer
    x = 51,412.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.