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Finding the Third Proportional to 33,312.50 and 71,565.50

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Solution

The third proportional to 33,312.50 and 71,565.50 is: 153,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,312.50 : 71,565.50 = 71,565.50 : x
  2. Step 2: Convert to fraction form
    33,312.50/71,565.50 = 71,565.50/x
  3. Step 3: Cross multiply
    33,312.50x = 71,565.50 × 71,565.50
  4. Step 4: Simplify right side
    33,312.50x = 5,121,620,790.25
  5. Step 5: Solve for x
    x = 5,121,620,790.25/33,312.50
  6. Step 6: Final answer
    x = 153,744.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.