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Finding the Third Proportional to 12,184 and 17,252

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Solution

The third proportional to 12,184 and 17,252 is: 24,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 17,252 = 17,252 : x
  2. Step 2: Convert to fraction form
    12,184/17,252 = 17,252/x
  3. Step 3: Cross multiply
    12,184x = 17,252 × 17,252
  4. Step 4: Simplify right side
    12,184x = 297,631,504
  5. Step 5: Solve for x
    x = 297,631,504/12,184
  6. Step 6: Final answer
    x = 24,428.06

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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.