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Finding the Third Proportional to 48,864 and 74,224

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Solution

The third proportional to 48,864 and 74,224 is: 112,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864 : 74,224 = 74,224 : x
  2. Step 2: Convert to fraction form
    48,864/74,224 = 74,224/x
  3. Step 3: Cross multiply
    48,864x = 74,224 × 74,224
  4. Step 4: Simplify right side
    48,864x = 5,509,202,176
  5. Step 5: Solve for x
    x = 5,509,202,176/48,864
  6. Step 6: Final answer
    x = 112,745.62

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Why These Related Problems?

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