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Finding the Third Proportional to 38,942 and 84,718

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Solution

The third proportional to 38,942 and 84,718 is: 184,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,942 : 84,718 = 84,718 : x
  2. Step 2: Convert to fraction form
    38,942/84,718 = 84,718/x
  3. Step 3: Cross multiply
    38,942x = 84,718 × 84,718
  4. Step 4: Simplify right side
    38,942x = 7,177,139,524
  5. Step 5: Solve for x
    x = 7,177,139,524/38,942
  6. Step 6: Final answer
    x = 184,303.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.