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Finding the Third Proportional to 35,220 and 76,314

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Solution

The third proportional to 35,220 and 76,314 is: 165,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220 : 76,314 = 76,314 : x
  2. Step 2: Convert to fraction form
    35,220/76,314 = 76,314/x
  3. Step 3: Cross multiply
    35,220x = 76,314 × 76,314
  4. Step 4: Simplify right side
    35,220x = 5,823,826,596
  5. Step 5: Solve for x
    x = 5,823,826,596/35,220
  6. Step 6: Final answer
    x = 165,355.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.