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Finding the Third Proportional to 9,965 and 14,169

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Solution

The third proportional to 9,965 and 14,169 is: 20,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 14,169 = 14,169 : x
  2. Step 2: Convert to fraction form
    9,965/14,169 = 14,169/x
  3. Step 3: Cross multiply
    9,965x = 14,169 × 14,169
  4. Step 4: Simplify right side
    9,965x = 200,760,561
  5. Step 5: Solve for x
    x = 200,760,561/9,965
  6. Step 6: Final answer
    x = 20,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.