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Finding the Third Proportional to 15,027 and 21,765

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Solution

The third proportional to 15,027 and 21,765 is: 31,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027 : 21,765 = 21,765 : x
  2. Step 2: Convert to fraction form
    15,027/21,765 = 21,765/x
  3. Step 3: Cross multiply
    15,027x = 21,765 × 21,765
  4. Step 4: Simplify right side
    15,027x = 473,715,225
  5. Step 5: Solve for x
    x = 473,715,225/15,027
  6. Step 6: Final answer
    x = 31,524.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.