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Finding the Third Proportional to 10,814 and 23,125

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Solution

The third proportional to 10,814 and 23,125 is: 49,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 23,125 = 23,125 : x
  2. Step 2: Convert to fraction form
    10,814/23,125 = 23,125/x
  3. Step 3: Cross multiply
    10,814x = 23,125 × 23,125
  4. Step 4: Simplify right side
    10,814x = 534,765,625
  5. Step 5: Solve for x
    x = 534,765,625/10,814
  6. Step 6: Final answer
    x = 49,451.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.