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Finding the Third Proportional to 38,900 and 84,841

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Solution

The third proportional to 38,900 and 84,841 is: 185,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 84,841 = 84,841 : x
  2. Step 2: Convert to fraction form
    38,900/84,841 = 84,841/x
  3. Step 3: Cross multiply
    38,900x = 84,841 × 84,841
  4. Step 4: Simplify right side
    38,900x = 7,197,995,281
  5. Step 5: Solve for x
    x = 7,197,995,281/38,900
  6. Step 6: Final answer
    x = 185,038.44

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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.