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Finding the Third Proportional to 10,266 and 15,215

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Solution

The third proportional to 10,266 and 15,215 is: 22,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266 : 15,215 = 15,215 : x
  2. Step 2: Convert to fraction form
    10,266/15,215 = 15,215/x
  3. Step 3: Cross multiply
    10,266x = 15,215 × 15,215
  4. Step 4: Simplify right side
    10,266x = 231,496,225
  5. Step 5: Solve for x
    x = 231,496,225/10,266
  6. Step 6: Final answer
    x = 22,549.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.