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Finding the Third Proportional to 21,394 and 46,676

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Solution

The third proportional to 21,394 and 46,676 is: 101,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394 : 46,676 = 46,676 : x
  2. Step 2: Convert to fraction form
    21,394/46,676 = 46,676/x
  3. Step 3: Cross multiply
    21,394x = 46,676 × 46,676
  4. Step 4: Simplify right side
    21,394x = 2,178,648,976
  5. Step 5: Solve for x
    x = 2,178,648,976/21,394
  6. Step 6: Final answer
    x = 101,834.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.