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Finding the Third Proportional to 48,717 and 73,435.50

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Solution

The third proportional to 48,717 and 73,435.50 is: 110,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 73,435.50 = 73,435.50 : x
  2. Step 2: Convert to fraction form
    48,717/73,435.50 = 73,435.50/x
  3. Step 3: Cross multiply
    48,717x = 73,435.50 × 73,435.50
  4. Step 4: Simplify right side
    48,717x = 5,392,772,660.25
  5. Step 5: Solve for x
    x = 5,392,772,660.25/48,717
  6. Step 6: Final answer
    x = 110,695.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.