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Finding the Third Proportional to 14,961 and 23,231

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Solution

The third proportional to 14,961 and 23,231 is: 36,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961 : 23,231 = 23,231 : x
  2. Step 2: Convert to fraction form
    14,961/23,231 = 23,231/x
  3. Step 3: Cross multiply
    14,961x = 23,231 × 23,231
  4. Step 4: Simplify right side
    14,961x = 539,679,361
  5. Step 5: Solve for x
    x = 539,679,361/14,961
  6. Step 6: Final answer
    x = 36,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.