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Finding the Third Proportional to 34,185.38 and 52,475.63

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Solution

The third proportional to 34,185.38 and 52,475.63 is: 80,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185.38 : 52,475.63 = 52,475.63 : x
  2. Step 2: Convert to fraction form
    34,185.38/52,475.63 = 52,475.63/x
  3. Step 3: Cross multiply
    34,185.38x = 52,475.63 × 52,475.63
  4. Step 4: Simplify right side
    34,185.38x = 2,753,691,219.14
  5. Step 5: Solve for x
    x = 2,753,691,219.14/34,185.38
  6. Step 6: Final answer
    x = 80,551.73

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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.