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Finding the Third Proportional to 20,560 and 48,480

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Solution

The third proportional to 20,560 and 48,480 is: 114,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 48,480 = 48,480 : x
  2. Step 2: Convert to fraction form
    20,560/48,480 = 48,480/x
  3. Step 3: Cross multiply
    20,560x = 48,480 × 48,480
  4. Step 4: Simplify right side
    20,560x = 2,350,310,400
  5. Step 5: Solve for x
    x = 2,350,310,400/20,560
  6. Step 6: Final answer
    x = 114,314.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.