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Finding the Third Proportional to 37,962 and 88,695

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Solution

The third proportional to 37,962 and 88,695 is: 207,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,962 : 88,695 = 88,695 : x
  2. Step 2: Convert to fraction form
    37,962/88,695 = 88,695/x
  3. Step 3: Cross multiply
    37,962x = 88,695 × 88,695
  4. Step 4: Simplify right side
    37,962x = 7,866,803,025
  5. Step 5: Solve for x
    x = 7,866,803,025/37,962
  6. Step 6: Final answer
    x = 207,228.36

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