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Finding the Third Proportional to 24,951 and 33,214.50

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Solution

The third proportional to 24,951 and 33,214.50 is: 44,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951 : 33,214.50 = 33,214.50 : x
  2. Step 2: Convert to fraction form
    24,951/33,214.50 = 33,214.50/x
  3. Step 3: Cross multiply
    24,951x = 33,214.50 × 33,214.50
  4. Step 4: Simplify right side
    24,951x = 1,103,203,010.25
  5. Step 5: Solve for x
    x = 1,103,203,010.25/24,951
  6. Step 6: Final answer
    x = 44,214.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.