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Finding the Third Proportional to 20,460 and 44,825

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Solution

The third proportional to 20,460 and 44,825 is: 98,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 44,825 = 44,825 : x
  2. Step 2: Convert to fraction form
    20,460/44,825 = 44,825/x
  3. Step 3: Cross multiply
    20,460x = 44,825 × 44,825
  4. Step 4: Simplify right side
    20,460x = 2,009,280,625
  5. Step 5: Solve for x
    x = 2,009,280,625/20,460
  6. Step 6: Final answer
    x = 98,205.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.