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Finding the Third Proportional to 11,142 and 16,378

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Solution

The third proportional to 11,142 and 16,378 is: 24,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 16,378 = 16,378 : x
  2. Step 2: Convert to fraction form
    11,142/16,378 = 16,378/x
  3. Step 3: Cross multiply
    11,142x = 16,378 × 16,378
  4. Step 4: Simplify right side
    11,142x = 268,238,884
  5. Step 5: Solve for x
    x = 268,238,884/11,142
  6. Step 6: Final answer
    x = 24,074.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.