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Finding the Third Proportional to 24,285 and 32,808.75

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Solution

The third proportional to 24,285 and 32,808.75 is: 44,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285 : 32,808.75 = 32,808.75 : x
  2. Step 2: Convert to fraction form
    24,285/32,808.75 = 32,808.75/x
  3. Step 3: Cross multiply
    24,285x = 32,808.75 × 32,808.75
  4. Step 4: Simplify right side
    24,285x = 1,076,414,076.56
  5. Step 5: Solve for x
    x = 1,076,414,076.56/24,285
  6. Step 6: Final answer
    x = 44,324.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.