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Finding the Third Proportional to 20,188 and 48,850

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Solution

The third proportional to 20,188 and 48,850 is: 118,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188 : 48,850 = 48,850 : x
  2. Step 2: Convert to fraction form
    20,188/48,850 = 48,850/x
  3. Step 3: Cross multiply
    20,188x = 48,850 × 48,850
  4. Step 4: Simplify right side
    20,188x = 2,386,322,500
  5. Step 5: Solve for x
    x = 2,386,322,500/20,188
  6. Step 6: Final answer
    x = 118,205.00

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.