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Finding the Third Proportional to 37,087 and 82,489

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Solution

The third proportional to 37,087 and 82,489 is: 183,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087 : 82,489 = 82,489 : x
  2. Step 2: Convert to fraction form
    37,087/82,489 = 82,489/x
  3. Step 3: Cross multiply
    37,087x = 82,489 × 82,489
  4. Step 4: Simplify right side
    37,087x = 6,804,435,121
  5. Step 5: Solve for x
    x = 6,804,435,121/37,087
  6. Step 6: Final answer
    x = 183,472.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.