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Finding the Third Proportional to 33,560 and 47,034

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Solution

The third proportional to 33,560 and 47,034 is: 65,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,560 : 47,034 = 47,034 : x
  2. Step 2: Convert to fraction form
    33,560/47,034 = 47,034/x
  3. Step 3: Cross multiply
    33,560x = 47,034 × 47,034
  4. Step 4: Simplify right side
    33,560x = 2,212,197,156
  5. Step 5: Solve for x
    x = 2,212,197,156/33,560
  6. Step 6: Final answer
    x = 65,917.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.