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Finding the Third Proportional to 32,410.13 and 35,793.56

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Solution

The third proportional to 32,410.13 and 35,793.56 is: 39,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 35,793.56 = 35,793.56 : x
  2. Step 2: Convert to fraction form
    32,410.13/35,793.56 = 35,793.56/x
  3. Step 3: Cross multiply
    32,410.13x = 35,793.56 × 35,793.56
  4. Step 4: Simplify right side
    32,410.13x = 1,281,179,116.44
  5. Step 5: Solve for x
    x = 1,281,179,116.44/32,410.13
  6. Step 6: Final answer
    x = 39,530.21

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.