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Finding the Third Proportional to 12,710 and 19,227

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Solution

The third proportional to 12,710 and 19,227 is: 29,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710 : 19,227 = 19,227 : x
  2. Step 2: Convert to fraction form
    12,710/19,227 = 19,227/x
  3. Step 3: Cross multiply
    12,710x = 19,227 × 19,227
  4. Step 4: Simplify right side
    12,710x = 369,677,529
  5. Step 5: Solve for x
    x = 369,677,529/12,710
  6. Step 6: Final answer
    x = 29,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.