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Finding the Third Proportional to 10,502 and 16,229

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Solution

The third proportional to 10,502 and 16,229 is: 25,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502 : 16,229 = 16,229 : x
  2. Step 2: Convert to fraction form
    10,502/16,229 = 16,229/x
  3. Step 3: Cross multiply
    10,502x = 16,229 × 16,229
  4. Step 4: Simplify right side
    10,502x = 263,380,441
  5. Step 5: Solve for x
    x = 263,380,441/10,502
  6. Step 6: Final answer
    x = 25,079.07

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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.