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Finding the Third Proportional to 29,229.75 and 40,198.50

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Solution

The third proportional to 29,229.75 and 40,198.50 is: 55,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,229.75 : 40,198.50 = 40,198.50 : x
  2. Step 2: Convert to fraction form
    29,229.75/40,198.50 = 40,198.50/x
  3. Step 3: Cross multiply
    29,229.75x = 40,198.50 × 40,198.50
  4. Step 4: Simplify right side
    29,229.75x = 1,615,919,402.25
  5. Step 5: Solve for x
    x = 1,615,919,402.25/29,229.75
  6. Step 6: Final answer
    x = 55,283.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.