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Finding the Third Proportional to 30,750 and 48,947

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Solution

The third proportional to 30,750 and 48,947 is: 77,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750 : 48,947 = 48,947 : x
  2. Step 2: Convert to fraction form
    30,750/48,947 = 48,947/x
  3. Step 3: Cross multiply
    30,750x = 48,947 × 48,947
  4. Step 4: Simplify right side
    30,750x = 2,395,808,809
  5. Step 5: Solve for x
    x = 2,395,808,809/30,750
  6. Step 6: Final answer
    x = 77,912.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.