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Finding the Third Proportional to 33,234.47 and 49,329.84

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Solution

The third proportional to 33,234.47 and 49,329.84 is: 73,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.47 : 49,329.84 = 49,329.84 : x
  2. Step 2: Convert to fraction form
    33,234.47/49,329.84 = 49,329.84/x
  3. Step 3: Cross multiply
    33,234.47x = 49,329.84 × 49,329.84
  4. Step 4: Simplify right side
    33,234.47x = 2,433,433,484.40
  5. Step 5: Solve for x
    x = 2,433,433,484.40/33,234.47
  6. Step 6: Final answer
    x = 73,220.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.