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Finding the Third Proportional to 8,319 and 14,766

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Solution

The third proportional to 8,319 and 14,766 is: 26,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 14,766 = 14,766 : x
  2. Step 2: Convert to fraction form
    8,319/14,766 = 14,766/x
  3. Step 3: Cross multiply
    8,319x = 14,766 × 14,766
  4. Step 4: Simplify right side
    8,319x = 218,034,756
  5. Step 5: Solve for x
    x = 218,034,756/8,319
  6. Step 6: Final answer
    x = 26,209.25

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.