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Finding the Third Proportional to 32,434.31 and 69,719.63

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Solution

The third proportional to 32,434.31 and 69,719.63 is: 149,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.31 : 69,719.63 = 69,719.63 : x
  2. Step 2: Convert to fraction form
    32,434.31/69,719.63 = 69,719.63/x
  3. Step 3: Cross multiply
    32,434.31x = 69,719.63 × 69,719.63
  4. Step 4: Simplify right side
    32,434.31x = 4,860,826,110.14
  5. Step 5: Solve for x
    x = 4,860,826,110.14/32,434.31
  6. Step 6: Final answer
    x = 149,866.78

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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.