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Finding the Third Proportional to 47,542.50 and 73,082.81

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Solution

The third proportional to 47,542.50 and 73,082.81 is: 112,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542.50 : 73,082.81 = 73,082.81 : x
  2. Step 2: Convert to fraction form
    47,542.50/73,082.81 = 73,082.81/x
  3. Step 3: Cross multiply
    47,542.50x = 73,082.81 × 73,082.81
  4. Step 4: Simplify right side
    47,542.50x = 5,341,097,482.91
  5. Step 5: Solve for x
    x = 5,341,097,482.91/47,542.50
  6. Step 6: Final answer
    x = 112,343.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.