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Finding the Third Proportional to 37,786 and 81,386

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Solution

The third proportional to 37,786 and 81,386 is: 175,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786 : 81,386 = 81,386 : x
  2. Step 2: Convert to fraction form
    37,786/81,386 = 81,386/x
  3. Step 3: Cross multiply
    37,786x = 81,386 × 81,386
  4. Step 4: Simplify right side
    37,786x = 6,623,680,996
  5. Step 5: Solve for x
    x = 6,623,680,996/37,786
  6. Step 6: Final answer
    x = 175,294.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.