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Finding the Third Proportional to 8,388 and 22,818

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Solution

The third proportional to 8,388 and 22,818 is: 62,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 22,818 = 22,818 : x
  2. Step 2: Convert to fraction form
    8,388/22,818 = 22,818/x
  3. Step 3: Cross multiply
    8,388x = 22,818 × 22,818
  4. Step 4: Simplify right side
    8,388x = 520,661,124
  5. Step 5: Solve for x
    x = 520,661,124/8,388
  6. Step 6: Final answer
    x = 62,072.14

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.