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Finding the Third Proportional to 33,254.50 and 48,909.50

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Solution

The third proportional to 33,254.50 and 48,909.50 is: 71,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.50 : 48,909.50 = 48,909.50 : x
  2. Step 2: Convert to fraction form
    33,254.50/48,909.50 = 48,909.50/x
  3. Step 3: Cross multiply
    33,254.50x = 48,909.50 × 48,909.50
  4. Step 4: Simplify right side
    33,254.50x = 2,392,139,190.25
  5. Step 5: Solve for x
    x = 2,392,139,190.25/33,254.50
  6. Step 6: Final answer
    x = 71,934.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.