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Finding the Third Proportional to 33,729.75 and 49,501

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Solution

The third proportional to 33,729.75 and 49,501 is: 72,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729.75 : 49,501 = 49,501 : x
  2. Step 2: Convert to fraction form
    33,729.75/49,501 = 49,501/x
  3. Step 3: Cross multiply
    33,729.75x = 49,501 × 49,501
  4. Step 4: Simplify right side
    33,729.75x = 2,450,349,001
  5. Step 5: Solve for x
    x = 2,450,349,001/33,729.75
  6. Step 6: Final answer
    x = 72,646.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.