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Finding the Third Proportional to 37,622 and 88,807

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Solution

The third proportional to 37,622 and 88,807 is: 209,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622 : 88,807 = 88,807 : x
  2. Step 2: Convert to fraction form
    37,622/88,807 = 88,807/x
  3. Step 3: Cross multiply
    37,622x = 88,807 × 88,807
  4. Step 4: Simplify right side
    37,622x = 7,886,683,249
  5. Step 5: Solve for x
    x = 7,886,683,249/37,622
  6. Step 6: Final answer
    x = 209,629.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.