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Finding the Third Proportional to 10,225 and 14,893

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Solution

The third proportional to 10,225 and 14,893 is: 21,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225 : 14,893 = 14,893 : x
  2. Step 2: Convert to fraction form
    10,225/14,893 = 14,893/x
  3. Step 3: Cross multiply
    10,225x = 14,893 × 14,893
  4. Step 4: Simplify right side
    10,225x = 221,801,449
  5. Step 5: Solve for x
    x = 221,801,449/10,225
  6. Step 6: Final answer
    x = 21,692.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.