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Finding the Third Proportional to 37,566 and 87,798

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Solution

The third proportional to 37,566 and 87,798 is: 205,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,566 : 87,798 = 87,798 : x
  2. Step 2: Convert to fraction form
    37,566/87,798 = 87,798/x
  3. Step 3: Cross multiply
    37,566x = 87,798 × 87,798
  4. Step 4: Simplify right side
    37,566x = 7,708,488,804
  5. Step 5: Solve for x
    x = 7,708,488,804/37,566
  6. Step 6: Final answer
    x = 205,198.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.