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Finding the Third Proportional to 21,555 and 32,524.50

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Solution

The third proportional to 21,555 and 32,524.50 is: 49,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,555 : 32,524.50 = 32,524.50 : x
  2. Step 2: Convert to fraction form
    21,555/32,524.50 = 32,524.50/x
  3. Step 3: Cross multiply
    21,555x = 32,524.50 × 32,524.50
  4. Step 4: Simplify right side
    21,555x = 1,057,843,100.25
  5. Step 5: Solve for x
    x = 1,057,843,100.25/21,555
  6. Step 6: Final answer
    x = 49,076.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.