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Finding the Third Proportional to 32,141.81 and 48,022.88

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Solution

The third proportional to 32,141.81 and 48,022.88 is: 71,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.81 : 48,022.88 = 48,022.88 : x
  2. Step 2: Convert to fraction form
    32,141.81/48,022.88 = 48,022.88/x
  3. Step 3: Cross multiply
    32,141.81x = 48,022.88 × 48,022.88
  4. Step 4: Simplify right side
    32,141.81x = 2,306,196,523.27
  5. Step 5: Solve for x
    x = 2,306,196,523.27/32,141.81
  6. Step 6: Final answer
    x = 71,750.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.