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Finding the Third Proportional to 9,649 and 14,577

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Solution

The third proportional to 9,649 and 14,577 is: 22,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649 : 14,577 = 14,577 : x
  2. Step 2: Convert to fraction form
    9,649/14,577 = 14,577/x
  3. Step 3: Cross multiply
    9,649x = 14,577 × 14,577
  4. Step 4: Simplify right side
    9,649x = 212,488,929
  5. Step 5: Solve for x
    x = 212,488,929/9,649
  6. Step 6: Final answer
    x = 22,021.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.