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Finding the Third Proportional to 32,765.63 and 71,093.25

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Solution

The third proportional to 32,765.63 and 71,093.25 is: 154,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.63 : 71,093.25 = 71,093.25 : x
  2. Step 2: Convert to fraction form
    32,765.63/71,093.25 = 71,093.25/x
  3. Step 3: Cross multiply
    32,765.63x = 71,093.25 × 71,093.25
  4. Step 4: Simplify right side
    32,765.63x = 5,054,250,195.56
  5. Step 5: Solve for x
    x = 5,054,250,195.56/32,765.63
  6. Step 6: Final answer
    x = 154,254.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.