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Finding the Third Proportional to 8,434 and 16,436

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Solution

The third proportional to 8,434 and 16,436 is: 32,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 16,436 = 16,436 : x
  2. Step 2: Convert to fraction form
    8,434/16,436 = 16,436/x
  3. Step 3: Cross multiply
    8,434x = 16,436 × 16,436
  4. Step 4: Simplify right side
    8,434x = 270,142,096
  5. Step 5: Solve for x
    x = 270,142,096/8,434
  6. Step 6: Final answer
    x = 32,030.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.