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Finding the Third Proportional to 37,472 and 82,288

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Solution

The third proportional to 37,472 and 82,288 is: 180,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472 : 82,288 = 82,288 : x
  2. Step 2: Convert to fraction form
    37,472/82,288 = 82,288/x
  3. Step 3: Cross multiply
    37,472x = 82,288 × 82,288
  4. Step 4: Simplify right side
    37,472x = 6,771,314,944
  5. Step 5: Solve for x
    x = 6,771,314,944/37,472
  6. Step 6: Final answer
    x = 180,703.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.