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Finding the Third Proportional to 18,126 and 27,730

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Solution

The third proportional to 18,126 and 27,730 is: 42,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126 : 27,730 = 27,730 : x
  2. Step 2: Convert to fraction form
    18,126/27,730 = 27,730/x
  3. Step 3: Cross multiply
    18,126x = 27,730 × 27,730
  4. Step 4: Simplify right side
    18,126x = 768,952,900
  5. Step 5: Solve for x
    x = 768,952,900/18,126
  6. Step 6: Final answer
    x = 42,422.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.