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Finding the Third Proportional to 41,163 and 63,455

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Solution

The third proportional to 41,163 and 63,455 is: 97,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163 : 63,455 = 63,455 : x
  2. Step 2: Convert to fraction form
    41,163/63,455 = 63,455/x
  3. Step 3: Cross multiply
    41,163x = 63,455 × 63,455
  4. Step 4: Simplify right side
    41,163x = 4,026,537,025
  5. Step 5: Solve for x
    x = 4,026,537,025/41,163
  6. Step 6: Final answer
    x = 97,819.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.