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Finding the Third Proportional to 9,969 and 14,521

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Solution

The third proportional to 9,969 and 14,521 is: 21,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 14,521 = 14,521 : x
  2. Step 2: Convert to fraction form
    9,969/14,521 = 14,521/x
  3. Step 3: Cross multiply
    9,969x = 14,521 × 14,521
  4. Step 4: Simplify right side
    9,969x = 210,859,441
  5. Step 5: Solve for x
    x = 210,859,441/9,969
  6. Step 6: Final answer
    x = 21,151.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.