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Finding the Third Proportional to 48,675.94 and 74,441.53

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Solution

The third proportional to 48,675.94 and 74,441.53 is: 113,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,675.94 : 74,441.53 = 74,441.53 : x
  2. Step 2: Convert to fraction form
    48,675.94/74,441.53 = 74,441.53/x
  3. Step 3: Cross multiply
    48,675.94x = 74,441.53 × 74,441.53
  4. Step 4: Simplify right side
    48,675.94x = 5,541,541,574.84
  5. Step 5: Solve for x
    x = 5,541,541,574.84/48,675.94
  6. Step 6: Final answer
    x = 113,845.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.