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Finding the Third Proportional to 12,024 and 13,368

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Solution

The third proportional to 12,024 and 13,368 is: 14,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 13,368 = 13,368 : x
  2. Step 2: Convert to fraction form
    12,024/13,368 = 13,368/x
  3. Step 3: Cross multiply
    12,024x = 13,368 × 13,368
  4. Step 4: Simplify right side
    12,024x = 178,703,424
  5. Step 5: Solve for x
    x = 178,703,424/12,024
  6. Step 6: Final answer
    x = 14,862.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.