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Finding the Third Proportional to 32,443.88 and 71,933.06

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Solution

The third proportional to 32,443.88 and 71,933.06 is: 159,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.88 : 71,933.06 = 71,933.06 : x
  2. Step 2: Convert to fraction form
    32,443.88/71,933.06 = 71,933.06/x
  3. Step 3: Cross multiply
    32,443.88x = 71,933.06 × 71,933.06
  4. Step 4: Simplify right side
    32,443.88x = 5,174,365,480.63
  5. Step 5: Solve for x
    x = 5,174,365,480.63/32,443.88
  6. Step 6: Final answer
    x = 159,486.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.