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Finding the Third Proportional to 38,084 and 83,758

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Solution

The third proportional to 38,084 and 83,758 is: 184,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 83,758 = 83,758 : x
  2. Step 2: Convert to fraction form
    38,084/83,758 = 83,758/x
  3. Step 3: Cross multiply
    38,084x = 83,758 × 83,758
  4. Step 4: Simplify right side
    38,084x = 7,015,402,564
  5. Step 5: Solve for x
    x = 7,015,402,564/38,084
  6. Step 6: Final answer
    x = 184,208.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.