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Finding the Third Proportional to 49,324 and 76,288

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Solution

The third proportional to 49,324 and 76,288 is: 117,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 76,288 = 76,288 : x
  2. Step 2: Convert to fraction form
    49,324/76,288 = 76,288/x
  3. Step 3: Cross multiply
    49,324x = 76,288 × 76,288
  4. Step 4: Simplify right side
    49,324x = 5,819,858,944
  5. Step 5: Solve for x
    x = 5,819,858,944/49,324
  6. Step 6: Final answer
    x = 117,992.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.