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Finding the Third Proportional to 47,066.50 and 71,703.38

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Solution

The third proportional to 47,066.50 and 71,703.38 is: 109,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066.50 : 71,703.38 = 71,703.38 : x
  2. Step 2: Convert to fraction form
    47,066.50/71,703.38 = 71,703.38/x
  3. Step 3: Cross multiply
    47,066.50x = 71,703.38 × 71,703.38
  4. Step 4: Simplify right side
    47,066.50x = 5,141,373,986.39
  5. Step 5: Solve for x
    x = 5,141,373,986.39/47,066.50
  6. Step 6: Final answer
    x = 109,236.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.