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Finding the Third Proportional to 3,919 and 8,720

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Solution

The third proportional to 3,919 and 8,720 is: 19,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 8,720 = 8,720 : x
  2. Step 2: Convert to fraction form
    3,919/8,720 = 8,720/x
  3. Step 3: Cross multiply
    3,919x = 8,720 × 8,720
  4. Step 4: Simplify right side
    3,919x = 76,038,400
  5. Step 5: Solve for x
    x = 76,038,400/3,919
  6. Step 6: Final answer
    x = 19,402.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.