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Finding the Third Proportional to 48,709.50 and 73,770

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Solution

The third proportional to 48,709.50 and 73,770 is: 111,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709.50 : 73,770 = 73,770 : x
  2. Step 2: Convert to fraction form
    48,709.50/73,770 = 73,770/x
  3. Step 3: Cross multiply
    48,709.50x = 73,770 × 73,770
  4. Step 4: Simplify right side
    48,709.50x = 5,442,012,900
  5. Step 5: Solve for x
    x = 5,442,012,900/48,709.50
  6. Step 6: Final answer
    x = 111,723.85

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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.