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Finding the Third Proportional to 20,883 and 48,913.50

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Solution

The third proportional to 20,883 and 48,913.50 is: 114,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883 : 48,913.50 = 48,913.50 : x
  2. Step 2: Convert to fraction form
    20,883/48,913.50 = 48,913.50/x
  3. Step 3: Cross multiply
    20,883x = 48,913.50 × 48,913.50
  4. Step 4: Simplify right side
    20,883x = 2,392,530,482.25
  5. Step 5: Solve for x
    x = 2,392,530,482.25/20,883
  6. Step 6: Final answer
    x = 114,568.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.