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Finding the Third Proportional to 32,715.56 and 72,059.63

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Solution

The third proportional to 32,715.56 and 72,059.63 is: 158,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.56 : 72,059.63 = 72,059.63 : x
  2. Step 2: Convert to fraction form
    32,715.56/72,059.63 = 72,059.63/x
  3. Step 3: Cross multiply
    32,715.56x = 72,059.63 × 72,059.63
  4. Step 4: Simplify right side
    32,715.56x = 5,192,589,555.14
  5. Step 5: Solve for x
    x = 5,192,589,555.14/32,715.56
  6. Step 6: Final answer
    x = 158,719.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.