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Finding the Third Proportional to 32,729.06 and 47,187.56

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Solution

The third proportional to 32,729.06 and 47,187.56 is: 68,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.06 : 47,187.56 = 47,187.56 : x
  2. Step 2: Convert to fraction form
    32,729.06/47,187.56 = 47,187.56/x
  3. Step 3: Cross multiply
    32,729.06x = 47,187.56 × 47,187.56
  4. Step 4: Simplify right side
    32,729.06x = 2,226,666,054.69
  5. Step 5: Solve for x
    x = 2,226,666,054.69/32,729.06
  6. Step 6: Final answer
    x = 68,033.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.