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Finding the Third Proportional to 9,698 and 12,543

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Solution

The third proportional to 9,698 and 12,543 is: 16,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 12,543 = 12,543 : x
  2. Step 2: Convert to fraction form
    9,698/12,543 = 12,543/x
  3. Step 3: Cross multiply
    9,698x = 12,543 × 12,543
  4. Step 4: Simplify right side
    9,698x = 157,326,849
  5. Step 5: Solve for x
    x = 157,326,849/9,698
  6. Step 6: Final answer
    x = 16,222.61

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.