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Finding the Third Proportional to 33,712.50 and 48,561

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Solution

The third proportional to 33,712.50 and 48,561 is: 69,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.50 : 48,561 = 48,561 : x
  2. Step 2: Convert to fraction form
    33,712.50/48,561 = 48,561/x
  3. Step 3: Cross multiply
    33,712.50x = 48,561 × 48,561
  4. Step 4: Simplify right side
    33,712.50x = 2,358,170,721
  5. Step 5: Solve for x
    x = 2,358,170,721/33,712.50
  6. Step 6: Final answer
    x = 69,949.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.