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Finding the Third Proportional to 24,230 and 51,395

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Solution

The third proportional to 24,230 and 51,395 is: 109,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230 : 51,395 = 51,395 : x
  2. Step 2: Convert to fraction form
    24,230/51,395 = 51,395/x
  3. Step 3: Cross multiply
    24,230x = 51,395 × 51,395
  4. Step 4: Simplify right side
    24,230x = 2,641,446,025
  5. Step 5: Solve for x
    x = 2,641,446,025/24,230
  6. Step 6: Final answer
    x = 109,015.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.