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Finding the Third Proportional to 9,697 and 14,619

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Solution

The third proportional to 9,697 and 14,619 is: 22,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697 : 14,619 = 14,619 : x
  2. Step 2: Convert to fraction form
    9,697/14,619 = 14,619/x
  3. Step 3: Cross multiply
    9,697x = 14,619 × 14,619
  4. Step 4: Simplify right side
    9,697x = 213,715,161
  5. Step 5: Solve for x
    x = 213,715,161/9,697
  6. Step 6: Final answer
    x = 22,039.31

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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.