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Finding the Third Proportional to 7,822 and 16,436

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Solution

The third proportional to 7,822 and 16,436 is: 34,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 16,436 = 16,436 : x
  2. Step 2: Convert to fraction form
    7,822/16,436 = 16,436/x
  3. Step 3: Cross multiply
    7,822x = 16,436 × 16,436
  4. Step 4: Simplify right side
    7,822x = 270,142,096
  5. Step 5: Solve for x
    x = 270,142,096/7,822
  6. Step 6: Final answer
    x = 34,536.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.