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Finding the Third Proportional to 22,590 and 34,857

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Solution

The third proportional to 22,590 and 34,857 is: 53,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590 : 34,857 = 34,857 : x
  2. Step 2: Convert to fraction form
    22,590/34,857 = 34,857/x
  3. Step 3: Cross multiply
    22,590x = 34,857 × 34,857
  4. Step 4: Simplify right side
    22,590x = 1,215,010,449
  5. Step 5: Solve for x
    x = 1,215,010,449/22,590
  6. Step 6: Final answer
    x = 53,785.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.