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Finding the Third Proportional to 32,475.94 and 70,829.44

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Solution

The third proportional to 32,475.94 and 70,829.44 is: 154,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.94 : 70,829.44 = 70,829.44 : x
  2. Step 2: Convert to fraction form
    32,475.94/70,829.44 = 70,829.44/x
  3. Step 3: Cross multiply
    32,475.94x = 70,829.44 × 70,829.44
  4. Step 4: Simplify right side
    32,475.94x = 5,016,809,216.57
  5. Step 5: Solve for x
    x = 5,016,809,216.57/32,475.94
  6. Step 6: Final answer
    x = 154,477.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.