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Finding the Third Proportional to 4,024 and 9,973

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Solution

The third proportional to 4,024 and 9,973 is: 24,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 9,973 = 9,973 : x
  2. Step 2: Convert to fraction form
    4,024/9,973 = 9,973/x
  3. Step 3: Cross multiply
    4,024x = 9,973 × 9,973
  4. Step 4: Simplify right side
    4,024x = 99,460,729
  5. Step 5: Solve for x
    x = 99,460,729/4,024
  6. Step 6: Final answer
    x = 24,716.88

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.