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Finding the Third Proportional to 10,319 and 21,651

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Solution

The third proportional to 10,319 and 21,651 is: 45,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 21,651 = 21,651 : x
  2. Step 2: Convert to fraction form
    10,319/21,651 = 21,651/x
  3. Step 3: Cross multiply
    10,319x = 21,651 × 21,651
  4. Step 4: Simplify right side
    10,319x = 468,765,801
  5. Step 5: Solve for x
    x = 468,765,801/10,319
  6. Step 6: Final answer
    x = 45,427.44

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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.