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Finding the Third Proportional to 12,184 and 18,523

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Solution

The third proportional to 12,184 and 18,523 is: 28,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 18,523 = 18,523 : x
  2. Step 2: Convert to fraction form
    12,184/18,523 = 18,523/x
  3. Step 3: Cross multiply
    12,184x = 18,523 × 18,523
  4. Step 4: Simplify right side
    12,184x = 343,101,529
  5. Step 5: Solve for x
    x = 343,101,529/12,184
  6. Step 6: Final answer
    x = 28,160.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.