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Finding the Third Proportional to 24,033.50 and 35,851

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Solution

The third proportional to 24,033.50 and 35,851 is: 53,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.50 : 35,851 = 35,851 : x
  2. Step 2: Convert to fraction form
    24,033.50/35,851 = 35,851/x
  3. Step 3: Cross multiply
    24,033.50x = 35,851 × 35,851
  4. Step 4: Simplify right side
    24,033.50x = 1,285,294,201
  5. Step 5: Solve for x
    x = 1,285,294,201/24,033.50
  6. Step 6: Final answer
    x = 53,479.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.