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Finding the Third Proportional to 33,919 and 49,862.25

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Solution

The third proportional to 33,919 and 49,862.25 is: 73,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,919 : 49,862.25 = 49,862.25 : x
  2. Step 2: Convert to fraction form
    33,919/49,862.25 = 49,862.25/x
  3. Step 3: Cross multiply
    33,919x = 49,862.25 × 49,862.25
  4. Step 4: Simplify right side
    33,919x = 2,486,243,975.06
  5. Step 5: Solve for x
    x = 2,486,243,975.06/33,919
  6. Step 6: Final answer
    x = 73,299.45

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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.