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Finding the Third Proportional to 20,544 and 48,348

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Solution

The third proportional to 20,544 and 48,348 is: 113,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 48,348 = 48,348 : x
  2. Step 2: Convert to fraction form
    20,544/48,348 = 48,348/x
  3. Step 3: Cross multiply
    20,544x = 48,348 × 48,348
  4. Step 4: Simplify right side
    20,544x = 2,337,529,104
  5. Step 5: Solve for x
    x = 2,337,529,104/20,544
  6. Step 6: Final answer
    x = 113,781.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.