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Finding the Third Proportional to 20,498 and 41,746

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Solution

The third proportional to 20,498 and 41,746 is: 85,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 41,746 = 41,746 : x
  2. Step 2: Convert to fraction form
    20,498/41,746 = 41,746/x
  3. Step 3: Cross multiply
    20,498x = 41,746 × 41,746
  4. Step 4: Simplify right side
    20,498x = 1,742,728,516
  5. Step 5: Solve for x
    x = 1,742,728,516/20,498
  6. Step 6: Final answer
    x = 85,019.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.