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Finding the Third Proportional to 18,223.31 and 39,214.69

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Solution

The third proportional to 18,223.31 and 39,214.69 is: 84,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.31 : 39,214.69 = 39,214.69 : x
  2. Step 2: Convert to fraction form
    18,223.31/39,214.69 = 39,214.69/x
  3. Step 3: Cross multiply
    18,223.31x = 39,214.69 × 39,214.69
  4. Step 4: Simplify right side
    18,223.31x = 1,537,791,715.72
  5. Step 5: Solve for x
    x = 1,537,791,715.72/18,223.31
  6. Step 6: Final answer
    x = 84,385.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.