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Finding the Third Proportional to 32,854.78 and 71,928.84

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Solution

The third proportional to 32,854.78 and 71,928.84 is: 157,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.78 : 71,928.84 = 71,928.84 : x
  2. Step 2: Convert to fraction form
    32,854.78/71,928.84 = 71,928.84/x
  3. Step 3: Cross multiply
    32,854.78x = 71,928.84 × 71,928.84
  4. Step 4: Simplify right side
    32,854.78x = 5,173,758,563.21
  5. Step 5: Solve for x
    x = 5,173,758,563.21/32,854.78
  6. Step 6: Final answer
    x = 157,473.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.