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Finding the Third Proportional to 8,410 and 16,388

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Solution

The third proportional to 8,410 and 16,388 is: 31,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 16,388 = 16,388 : x
  2. Step 2: Convert to fraction form
    8,410/16,388 = 16,388/x
  3. Step 3: Cross multiply
    8,410x = 16,388 × 16,388
  4. Step 4: Simplify right side
    8,410x = 268,566,544
  5. Step 5: Solve for x
    x = 268,566,544/8,410
  6. Step 6: Final answer
    x = 31,934.19

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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.