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Finding the Third Proportional to 8,196 and 12,364

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Solution

The third proportional to 8,196 and 12,364 is: 18,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 12,364 = 12,364 : x
  2. Step 2: Convert to fraction form
    8,196/12,364 = 12,364/x
  3. Step 3: Cross multiply
    8,196x = 12,364 × 12,364
  4. Step 4: Simplify right side
    8,196x = 152,868,496
  5. Step 5: Solve for x
    x = 152,868,496/8,196
  6. Step 6: Final answer
    x = 18,651.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.