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Finding the Third Proportional to 8,334 and 19,530

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Solution

The third proportional to 8,334 and 19,530 is: 45,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334 : 19,530 = 19,530 : x
  2. Step 2: Convert to fraction form
    8,334/19,530 = 19,530/x
  3. Step 3: Cross multiply
    8,334x = 19,530 × 19,530
  4. Step 4: Simplify right side
    8,334x = 381,420,900
  5. Step 5: Solve for x
    x = 381,420,900/8,334
  6. Step 6: Final answer
    x = 45,766.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.