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Finding the Third Proportional to 24,853.50 and 35,403.75

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Solution

The third proportional to 24,853.50 and 35,403.75 is: 50,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.50 : 35,403.75 = 35,403.75 : x
  2. Step 2: Convert to fraction form
    24,853.50/35,403.75 = 35,403.75/x
  3. Step 3: Cross multiply
    24,853.50x = 35,403.75 × 35,403.75
  4. Step 4: Simplify right side
    24,853.50x = 1,253,425,514.06
  5. Step 5: Solve for x
    x = 1,253,425,514.06/24,853.50
  6. Step 6: Final answer
    x = 50,432.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.