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Finding the Third Proportional to 33,248.81 and 49,759.31

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Solution

The third proportional to 33,248.81 and 49,759.31 is: 74,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248.81 : 49,759.31 = 49,759.31 : x
  2. Step 2: Convert to fraction form
    33,248.81/49,759.31 = 49,759.31/x
  3. Step 3: Cross multiply
    33,248.81x = 49,759.31 × 49,759.31
  4. Step 4: Simplify right side
    33,248.81x = 2,475,989,180.47
  5. Step 5: Solve for x
    x = 2,475,989,180.47/33,248.81
  6. Step 6: Final answer
    x = 74,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.