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Finding the Third Proportional to 38,037 and 77,226

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Solution

The third proportional to 38,037 and 77,226 is: 156,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037 : 77,226 = 77,226 : x
  2. Step 2: Convert to fraction form
    38,037/77,226 = 77,226/x
  3. Step 3: Cross multiply
    38,037x = 77,226 × 77,226
  4. Step 4: Simplify right side
    38,037x = 5,963,855,076
  5. Step 5: Solve for x
    x = 5,963,855,076/38,037
  6. Step 6: Final answer
    x = 156,790.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.