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Finding the Third Proportional to 36,444 and 47,853

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Solution

The third proportional to 36,444 and 47,853 is: 62,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,444 : 47,853 = 47,853 : x
  2. Step 2: Convert to fraction form
    36,444/47,853 = 47,853/x
  3. Step 3: Cross multiply
    36,444x = 47,853 × 47,853
  4. Step 4: Simplify right side
    36,444x = 2,289,909,609
  5. Step 5: Solve for x
    x = 2,289,909,609/36,444
  6. Step 6: Final answer
    x = 62,833.65

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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.