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Finding the Third Proportional to 21,732 and 45,799

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Solution

The third proportional to 21,732 and 45,799 is: 96,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732 : 45,799 = 45,799 : x
  2. Step 2: Convert to fraction form
    21,732/45,799 = 45,799/x
  3. Step 3: Cross multiply
    21,732x = 45,799 × 45,799
  4. Step 4: Simplify right side
    21,732x = 2,097,548,401
  5. Step 5: Solve for x
    x = 2,097,548,401/21,732
  6. Step 6: Final answer
    x = 96,518.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.