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Finding the Third Proportional to 22,603 and 34,577

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Solution

The third proportional to 22,603 and 34,577 is: 52,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603 : 34,577 = 34,577 : x
  2. Step 2: Convert to fraction form
    22,603/34,577 = 34,577/x
  3. Step 3: Cross multiply
    22,603x = 34,577 × 34,577
  4. Step 4: Simplify right side
    22,603x = 1,195,568,929
  5. Step 5: Solve for x
    x = 1,195,568,929/22,603
  6. Step 6: Final answer
    x = 52,894.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.