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Finding the Third Proportional to 11,510 and 18,315

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Solution

The third proportional to 11,510 and 18,315 is: 29,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510 : 18,315 = 18,315 : x
  2. Step 2: Convert to fraction form
    11,510/18,315 = 18,315/x
  3. Step 3: Cross multiply
    11,510x = 18,315 × 18,315
  4. Step 4: Simplify right side
    11,510x = 335,439,225
  5. Step 5: Solve for x
    x = 335,439,225/11,510
  6. Step 6: Final answer
    x = 29,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.