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Finding the Third Proportional to 38,674 and 58,324

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Solution

The third proportional to 38,674 and 58,324 is: 87,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,674 : 58,324 = 58,324 : x
  2. Step 2: Convert to fraction form
    38,674/58,324 = 58,324/x
  3. Step 3: Cross multiply
    38,674x = 58,324 × 58,324
  4. Step 4: Simplify right side
    38,674x = 3,401,688,976
  5. Step 5: Solve for x
    x = 3,401,688,976/38,674
  6. Step 6: Final answer
    x = 87,958.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.