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Finding the Third Proportional to 9,517 and 14,223

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Solution

The third proportional to 9,517 and 14,223 is: 21,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517 : 14,223 = 14,223 : x
  2. Step 2: Convert to fraction form
    9,517/14,223 = 14,223/x
  3. Step 3: Cross multiply
    9,517x = 14,223 × 14,223
  4. Step 4: Simplify right side
    9,517x = 202,293,729
  5. Step 5: Solve for x
    x = 202,293,729/9,517
  6. Step 6: Final answer
    x = 21,256.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.