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Finding the Third Proportional to 27,314 and 38,643

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Solution

The third proportional to 27,314 and 38,643 is: 54,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314 : 38,643 = 38,643 : x
  2. Step 2: Convert to fraction form
    27,314/38,643 = 38,643/x
  3. Step 3: Cross multiply
    27,314x = 38,643 × 38,643
  4. Step 4: Simplify right side
    27,314x = 1,493,281,449
  5. Step 5: Solve for x
    x = 1,493,281,449/27,314
  6. Step 6: Final answer
    x = 54,670.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.