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Finding the Third Proportional to 33,454.50 and 72,421.50

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Solution

The third proportional to 33,454.50 and 72,421.50 is: 156,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.50 : 72,421.50 = 72,421.50 : x
  2. Step 2: Convert to fraction form
    33,454.50/72,421.50 = 72,421.50/x
  3. Step 3: Cross multiply
    33,454.50x = 72,421.50 × 72,421.50
  4. Step 4: Simplify right side
    33,454.50x = 5,244,873,662.25
  5. Step 5: Solve for x
    x = 5,244,873,662.25/33,454.50
  6. Step 6: Final answer
    x = 156,776.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.