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Finding the Third Proportional to 16,138 and 24,206

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Solution

The third proportional to 16,138 and 24,206 is: 36,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138 : 24,206 = 24,206 : x
  2. Step 2: Convert to fraction form
    16,138/24,206 = 24,206/x
  3. Step 3: Cross multiply
    16,138x = 24,206 × 24,206
  4. Step 4: Simplify right side
    16,138x = 585,930,436
  5. Step 5: Solve for x
    x = 585,930,436/16,138
  6. Step 6: Final answer
    x = 36,307.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.