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Finding the Third Proportional to 21,929 and 47,697

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Solution

The third proportional to 21,929 and 47,697 is: 103,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929 : 47,697 = 47,697 : x
  2. Step 2: Convert to fraction form
    21,929/47,697 = 47,697/x
  3. Step 3: Cross multiply
    21,929x = 47,697 × 47,697
  4. Step 4: Simplify right side
    21,929x = 2,275,003,809
  5. Step 5: Solve for x
    x = 2,275,003,809/21,929
  6. Step 6: Final answer
    x = 103,744.07

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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.