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Finding the Third Proportional to 48,235.50 and 74,145.38

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Solution

The third proportional to 48,235.50 and 74,145.38 is: 113,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,235.50 : 74,145.38 = 74,145.38 : x
  2. Step 2: Convert to fraction form
    48,235.50/74,145.38 = 74,145.38/x
  3. Step 3: Cross multiply
    48,235.50x = 74,145.38 × 74,145.38
  4. Step 4: Simplify right side
    48,235.50x = 5,497,536,633.89
  5. Step 5: Solve for x
    x = 5,497,536,633.89/48,235.50
  6. Step 6: Final answer
    x = 113,972.83

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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.