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Finding the Third Proportional to 27,262 and 38,659

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Solution

The third proportional to 27,262 and 38,659 is: 54,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262 : 38,659 = 38,659 : x
  2. Step 2: Convert to fraction form
    27,262/38,659 = 38,659/x
  3. Step 3: Cross multiply
    27,262x = 38,659 × 38,659
  4. Step 4: Simplify right side
    27,262x = 1,494,518,281
  5. Step 5: Solve for x
    x = 1,494,518,281/27,262
  6. Step 6: Final answer
    x = 54,820.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.