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Finding the Third Proportional to 32,867.02 and 71,953.31

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Solution

The third proportional to 32,867.02 and 71,953.31 is: 157,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867.02 : 71,953.31 = 71,953.31 : x
  2. Step 2: Convert to fraction form
    32,867.02/71,953.31 = 71,953.31/x
  3. Step 3: Cross multiply
    32,867.02x = 71,953.31 × 71,953.31
  4. Step 4: Simplify right side
    32,867.02x = 5,177,279,179.72
  5. Step 5: Solve for x
    x = 5,177,279,179.72/32,867.02
  6. Step 6: Final answer
    x = 157,522.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.