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Finding the Third Proportional to 33,095 and 49,944

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Solution

The third proportional to 33,095 and 49,944 is: 75,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095 : 49,944 = 49,944 : x
  2. Step 2: Convert to fraction form
    33,095/49,944 = 49,944/x
  3. Step 3: Cross multiply
    33,095x = 49,944 × 49,944
  4. Step 4: Simplify right side
    33,095x = 2,494,403,136
  5. Step 5: Solve for x
    x = 2,494,403,136/33,095
  6. Step 6: Final answer
    x = 75,371.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.