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Finding the Third Proportional to 41,013 and 53,853

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Solution

The third proportional to 41,013 and 53,853 is: 70,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013 : 53,853 = 53,853 : x
  2. Step 2: Convert to fraction form
    41,013/53,853 = 53,853/x
  3. Step 3: Cross multiply
    41,013x = 53,853 × 53,853
  4. Step 4: Simplify right side
    41,013x = 2,900,145,609
  5. Step 5: Solve for x
    x = 2,900,145,609/41,013
  6. Step 6: Final answer
    x = 70,712.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.