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Finding the Third Proportional to 18,506 and 27,107

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Solution

The third proportional to 18,506 and 27,107 is: 39,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 27,107 = 27,107 : x
  2. Step 2: Convert to fraction form
    18,506/27,107 = 27,107/x
  3. Step 3: Cross multiply
    18,506x = 27,107 × 27,107
  4. Step 4: Simplify right side
    18,506x = 734,789,449
  5. Step 5: Solve for x
    x = 734,789,449/18,506
  6. Step 6: Final answer
    x = 39,705.47

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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.