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Finding the Third Proportional to 38,263.96 and 57,434.38

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Solution

The third proportional to 38,263.96 and 57,434.38 is: 86,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,263.96 : 57,434.38 = 57,434.38 : x
  2. Step 2: Convert to fraction form
    38,263.96/57,434.38 = 57,434.38/x
  3. Step 3: Cross multiply
    38,263.96x = 57,434.38 × 57,434.38
  4. Step 4: Simplify right side
    38,263.96x = 3,298,707,880.35
  5. Step 5: Solve for x
    x = 3,298,707,880.35/38,263.96
  6. Step 6: Final answer
    x = 86,209.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.