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Finding the Third Proportional to 33,290.16 and 71,655.05

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Solution

The third proportional to 33,290.16 and 71,655.05 is: 154,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,290.16 : 71,655.05 = 71,655.05 : x
  2. Step 2: Convert to fraction form
    33,290.16/71,655.05 = 71,655.05/x
  3. Step 3: Cross multiply
    33,290.16x = 71,655.05 × 71,655.05
  4. Step 4: Simplify right side
    33,290.16x = 5,134,445,742.66
  5. Step 5: Solve for x
    x = 5,134,445,742.66/33,290.16
  6. Step 6: Final answer
    x = 154,233.15

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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.