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Finding the Third Proportional to 24,570 and 33,219

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Solution

The third proportional to 24,570 and 33,219 is: 44,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 33,219 = 33,219 : x
  2. Step 2: Convert to fraction form
    24,570/33,219 = 33,219/x
  3. Step 3: Cross multiply
    24,570x = 33,219 × 33,219
  4. Step 4: Simplify right side
    24,570x = 1,103,501,961
  5. Step 5: Solve for x
    x = 1,103,501,961/24,570
  6. Step 6: Final answer
    x = 44,912.57

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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.