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Finding the Third Proportional to 38,052 and 84,838

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Solution

The third proportional to 38,052 and 84,838 is: 189,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052 : 84,838 = 84,838 : x
  2. Step 2: Convert to fraction form
    38,052/84,838 = 84,838/x
  3. Step 3: Cross multiply
    38,052x = 84,838 × 84,838
  4. Step 4: Simplify right side
    38,052x = 7,197,486,244
  5. Step 5: Solve for x
    x = 7,197,486,244/38,052
  6. Step 6: Final answer
    x = 189,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.