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Finding the Third Proportional to 33,308 and 70,856

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Solution

The third proportional to 33,308 and 70,856 is: 150,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308 : 70,856 = 70,856 : x
  2. Step 2: Convert to fraction form
    33,308/70,856 = 70,856/x
  3. Step 3: Cross multiply
    33,308x = 70,856 × 70,856
  4. Step 4: Simplify right side
    33,308x = 5,020,572,736
  5. Step 5: Solve for x
    x = 5,020,572,736/33,308
  6. Step 6: Final answer
    x = 150,731.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.