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Finding the Third Proportional to 18,717 and 27,346

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Solution

The third proportional to 18,717 and 27,346 is: 39,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717 : 27,346 = 27,346 : x
  2. Step 2: Convert to fraction form
    18,717/27,346 = 27,346/x
  3. Step 3: Cross multiply
    18,717x = 27,346 × 27,346
  4. Step 4: Simplify right side
    18,717x = 747,803,716
  5. Step 5: Solve for x
    x = 747,803,716/18,717
  6. Step 6: Final answer
    x = 39,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.