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Finding the Third Proportional to 35,243 and 50,919.50

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Solution

The third proportional to 35,243 and 50,919.50 is: 73,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,243 : 50,919.50 = 50,919.50 : x
  2. Step 2: Convert to fraction form
    35,243/50,919.50 = 50,919.50/x
  3. Step 3: Cross multiply
    35,243x = 50,919.50 × 50,919.50
  4. Step 4: Simplify right side
    35,243x = 2,592,795,480.25
  5. Step 5: Solve for x
    x = 2,592,795,480.25/35,243
  6. Step 6: Final answer
    x = 73,569.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.