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Finding the Third Proportional to 4,542 and 9,577

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Solution

The third proportional to 4,542 and 9,577 is: 20,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542 : 9,577 = 9,577 : x
  2. Step 2: Convert to fraction form
    4,542/9,577 = 9,577/x
  3. Step 3: Cross multiply
    4,542x = 9,577 × 9,577
  4. Step 4: Simplify right side
    4,542x = 91,718,929
  5. Step 5: Solve for x
    x = 91,718,929/4,542
  6. Step 6: Final answer
    x = 20,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.