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Finding the Third Proportional to 33,390.75 and 51,346.13

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Solution

The third proportional to 33,390.75 and 51,346.13 is: 78,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390.75 : 51,346.13 = 51,346.13 : x
  2. Step 2: Convert to fraction form
    33,390.75/51,346.13 = 51,346.13/x
  3. Step 3: Cross multiply
    33,390.75x = 51,346.13 × 51,346.13
  4. Step 4: Simplify right side
    33,390.75x = 2,636,424,552.52
  5. Step 5: Solve for x
    x = 2,636,424,552.52/33,390.75
  6. Step 6: Final answer
    x = 78,956.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.