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Finding the Third Proportional to 21,524 and 32,284.75

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Solution

The third proportional to 21,524 and 32,284.75 is: 48,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524 : 32,284.75 = 32,284.75 : x
  2. Step 2: Convert to fraction form
    21,524/32,284.75 = 32,284.75/x
  3. Step 3: Cross multiply
    21,524x = 32,284.75 × 32,284.75
  4. Step 4: Simplify right side
    21,524x = 1,042,305,082.56
  5. Step 5: Solve for x
    x = 1,042,305,082.56/21,524
  6. Step 6: Final answer
    x = 48,425.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.