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Finding the Third Proportional to 38,670 and 84,442

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Solution

The third proportional to 38,670 and 84,442 is: 184,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670 : 84,442 = 84,442 : x
  2. Step 2: Convert to fraction form
    38,670/84,442 = 84,442/x
  3. Step 3: Cross multiply
    38,670x = 84,442 × 84,442
  4. Step 4: Simplify right side
    38,670x = 7,130,451,364
  5. Step 5: Solve for x
    x = 7,130,451,364/38,670
  6. Step 6: Final answer
    x = 184,392.33

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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.