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Finding the Third Proportional to 32,833.50 and 49,238.25

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Solution

The third proportional to 32,833.50 and 49,238.25 is: 73,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.50 : 49,238.25 = 49,238.25 : x
  2. Step 2: Convert to fraction form
    32,833.50/49,238.25 = 49,238.25/x
  3. Step 3: Cross multiply
    32,833.50x = 49,238.25 × 49,238.25
  4. Step 4: Simplify right side
    32,833.50x = 2,424,405,263.06
  5. Step 5: Solve for x
    x = 2,424,405,263.06/32,833.50
  6. Step 6: Final answer
    x = 73,839.38

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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.