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Finding the Third Proportional to 32,911.31 and 71,411.63

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Solution

The third proportional to 32,911.31 and 71,411.63 is: 154,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.31 : 71,411.63 = 71,411.63 : x
  2. Step 2: Convert to fraction form
    32,911.31/71,411.63 = 71,411.63/x
  3. Step 3: Cross multiply
    32,911.31x = 71,411.63 × 71,411.63
  4. Step 4: Simplify right side
    32,911.31x = 5,099,620,185.14
  5. Step 5: Solve for x
    x = 5,099,620,185.14/32,911.31
  6. Step 6: Final answer
    x = 154,950.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.