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Finding the Third Proportional to 30,400.31 and 71,006.63

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Solution

The third proportional to 30,400.31 and 71,006.63 is: 165,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.31 : 71,006.63 = 71,006.63 : x
  2. Step 2: Convert to fraction form
    30,400.31/71,006.63 = 71,006.63/x
  3. Step 3: Cross multiply
    30,400.31x = 71,006.63 × 71,006.63
  4. Step 4: Simplify right side
    30,400.31x = 5,041,940,793.89
  5. Step 5: Solve for x
    x = 5,041,940,793.89/30,400.31
  6. Step 6: Final answer
    x = 165,851.61

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.