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Finding the Third Proportional to 20,746 and 43,518

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Solution

The third proportional to 20,746 and 43,518 is: 91,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746 : 43,518 = 43,518 : x
  2. Step 2: Convert to fraction form
    20,746/43,518 = 43,518/x
  3. Step 3: Cross multiply
    20,746x = 43,518 × 43,518
  4. Step 4: Simplify right side
    20,746x = 1,893,816,324
  5. Step 5: Solve for x
    x = 1,893,816,324/20,746
  6. Step 6: Final answer
    x = 91,285.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.