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Finding the Third Proportional to 10,382 and 18,396

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Solution

The third proportional to 10,382 and 18,396 is: 32,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382 : 18,396 = 18,396 : x
  2. Step 2: Convert to fraction form
    10,382/18,396 = 18,396/x
  3. Step 3: Cross multiply
    10,382x = 18,396 × 18,396
  4. Step 4: Simplify right side
    10,382x = 338,412,816
  5. Step 5: Solve for x
    x = 338,412,816/10,382
  6. Step 6: Final answer
    x = 32,596.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.