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Finding the Third Proportional to 33,978.75 and 48,943.13

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Solution

The third proportional to 33,978.75 and 48,943.13 is: 70,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.75 : 48,943.13 = 48,943.13 : x
  2. Step 2: Convert to fraction form
    33,978.75/48,943.13 = 48,943.13/x
  3. Step 3: Cross multiply
    33,978.75x = 48,943.13 × 48,943.13
  4. Step 4: Simplify right side
    33,978.75x = 2,395,429,484.77
  5. Step 5: Solve for x
    x = 2,395,429,484.77/33,978.75
  6. Step 6: Final answer
    x = 70,497.87

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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.