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Finding the Third Proportional to 10,640 and 20,344

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Solution

The third proportional to 10,640 and 20,344 is: 38,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640 : 20,344 = 20,344 : x
  2. Step 2: Convert to fraction form
    10,640/20,344 = 20,344/x
  3. Step 3: Cross multiply
    10,640x = 20,344 × 20,344
  4. Step 4: Simplify right side
    10,640x = 413,878,336
  5. Step 5: Solve for x
    x = 413,878,336/10,640
  6. Step 6: Final answer
    x = 38,898.34

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.