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Finding the Third Proportional to 8,620 and 13,778

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Solution

The third proportional to 8,620 and 13,778 is: 22,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620 : 13,778 = 13,778 : x
  2. Step 2: Convert to fraction form
    8,620/13,778 = 13,778/x
  3. Step 3: Cross multiply
    8,620x = 13,778 × 13,778
  4. Step 4: Simplify right side
    8,620x = 189,833,284
  5. Step 5: Solve for x
    x = 189,833,284/8,620
  6. Step 6: Final answer
    x = 22,022.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.