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Finding the Third Proportional to 10,238 and 21,500

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Solution

The third proportional to 10,238 and 21,500 is: 45,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 21,500 = 21,500 : x
  2. Step 2: Convert to fraction form
    10,238/21,500 = 21,500/x
  3. Step 3: Cross multiply
    10,238x = 21,500 × 21,500
  4. Step 4: Simplify right side
    10,238x = 462,250,000
  5. Step 5: Solve for x
    x = 462,250,000/10,238
  6. Step 6: Final answer
    x = 45,150.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.