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Finding the Third Proportional to 27,702 and 38,871

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Solution

The third proportional to 27,702 and 38,871 is: 54,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 38,871 = 38,871 : x
  2. Step 2: Convert to fraction form
    27,702/38,871 = 38,871/x
  3. Step 3: Cross multiply
    27,702x = 38,871 × 38,871
  4. Step 4: Simplify right side
    27,702x = 1,510,954,641
  5. Step 5: Solve for x
    x = 1,510,954,641/27,702
  6. Step 6: Final answer
    x = 54,543.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.