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Finding the Third Proportional to 32,928.19 and 69,958.69

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Solution

The third proportional to 32,928.19 and 69,958.69 is: 148,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.19 : 69,958.69 = 69,958.69 : x
  2. Step 2: Convert to fraction form
    32,928.19/69,958.69 = 69,958.69/x
  3. Step 3: Cross multiply
    32,928.19x = 69,958.69 × 69,958.69
  4. Step 4: Simplify right side
    32,928.19x = 4,894,217,956.72
  5. Step 5: Solve for x
    x = 4,894,217,956.72/32,928.19
  6. Step 6: Final answer
    x = 148,633.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.