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Finding the Third Proportional to 37,407 and 81,855

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Solution

The third proportional to 37,407 and 81,855 is: 179,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 81,855 = 81,855 : x
  2. Step 2: Convert to fraction form
    37,407/81,855 = 81,855/x
  3. Step 3: Cross multiply
    37,407x = 81,855 × 81,855
  4. Step 4: Simplify right side
    37,407x = 6,700,241,025
  5. Step 5: Solve for x
    x = 6,700,241,025/37,407
  6. Step 6: Final answer
    x = 179,117.30

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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.