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Finding the Third Proportional to 20,770 and 44,868

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Solution

The third proportional to 20,770 and 44,868 is: 96,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 44,868 = 44,868 : x
  2. Step 2: Convert to fraction form
    20,770/44,868 = 44,868/x
  3. Step 3: Cross multiply
    20,770x = 44,868 × 44,868
  4. Step 4: Simplify right side
    20,770x = 2,013,137,424
  5. Step 5: Solve for x
    x = 2,013,137,424/20,770
  6. Step 6: Final answer
    x = 96,925.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.