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Finding the Third Proportional to 37,407 and 81,853

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Solution

The third proportional to 37,407 and 81,853 is: 179,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 81,853 = 81,853 : x
  2. Step 2: Convert to fraction form
    37,407/81,853 = 81,853/x
  3. Step 3: Cross multiply
    37,407x = 81,853 × 81,853
  4. Step 4: Simplify right side
    37,407x = 6,699,913,609
  5. Step 5: Solve for x
    x = 6,699,913,609/37,407
  6. Step 6: Final answer
    x = 179,108.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.