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Finding the Third Proportional to 38,038 and 77,228

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Solution

The third proportional to 38,038 and 77,228 is: 156,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038 : 77,228 = 77,228 : x
  2. Step 2: Convert to fraction form
    38,038/77,228 = 77,228/x
  3. Step 3: Cross multiply
    38,038x = 77,228 × 77,228
  4. Step 4: Simplify right side
    38,038x = 5,964,163,984
  5. Step 5: Solve for x
    x = 5,964,163,984/38,038
  6. Step 6: Final answer
    x = 156,794.89

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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.