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Finding the Third Proportional to 32,921.44 and 71,107.88

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Solution

The third proportional to 32,921.44 and 71,107.88 is: 153,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.44 : 71,107.88 = 71,107.88 : x
  2. Step 2: Convert to fraction form
    32,921.44/71,107.88 = 71,107.88/x
  3. Step 3: Cross multiply
    32,921.44x = 71,107.88 × 71,107.88
  4. Step 4: Simplify right side
    32,921.44x = 5,056,329,887.02
  5. Step 5: Solve for x
    x = 5,056,329,887.02/32,921.44
  6. Step 6: Final answer
    x = 153,587.76

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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.