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Finding the Third Proportional to 10,786 and 14,396

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Solution

The third proportional to 10,786 and 14,396 is: 19,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,396 = 14,396 : x
  2. Step 2: Convert to fraction form
    10,786/14,396 = 14,396/x
  3. Step 3: Cross multiply
    10,786x = 14,396 × 14,396
  4. Step 4: Simplify right side
    10,786x = 207,244,816
  5. Step 5: Solve for x
    x = 207,244,816/10,786
  6. Step 6: Final answer
    x = 19,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.