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Finding the Third Proportional to 32,101.31 and 47,974.78

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Solution

The third proportional to 32,101.31 and 47,974.78 is: 71,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.31 : 47,974.78 = 47,974.78 : x
  2. Step 2: Convert to fraction form
    32,101.31/47,974.78 = 47,974.78/x
  3. Step 3: Cross multiply
    32,101.31x = 47,974.78 × 47,974.78
  4. Step 4: Simplify right side
    32,101.31x = 2,301,579,635.99
  5. Step 5: Solve for x
    x = 2,301,579,635.99/32,101.31
  6. Step 6: Final answer
    x = 71,697.37

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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.