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Finding the Third Proportional to 37,411 and 81,863

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Solution

The third proportional to 37,411 and 81,863 is: 179,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411 : 81,863 = 81,863 : x
  2. Step 2: Convert to fraction form
    37,411/81,863 = 81,863/x
  3. Step 3: Cross multiply
    37,411x = 81,863 × 81,863
  4. Step 4: Simplify right side
    37,411x = 6,701,550,769
  5. Step 5: Solve for x
    x = 6,701,550,769/37,411
  6. Step 6: Final answer
    x = 179,133.16

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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.