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Finding the Third Proportional to 27,124 and 38,715

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Solution

The third proportional to 27,124 and 38,715 is: 55,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 38,715 = 38,715 : x
  2. Step 2: Convert to fraction form
    27,124/38,715 = 38,715/x
  3. Step 3: Cross multiply
    27,124x = 38,715 × 38,715
  4. Step 4: Simplify right side
    27,124x = 1,498,851,225
  5. Step 5: Solve for x
    x = 1,498,851,225/27,124
  6. Step 6: Final answer
    x = 55,259.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.