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Finding the Third Proportional to 35,364 and 76,951

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Solution

The third proportional to 35,364 and 76,951 is: 167,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,364 : 76,951 = 76,951 : x
  2. Step 2: Convert to fraction form
    35,364/76,951 = 76,951/x
  3. Step 3: Cross multiply
    35,364x = 76,951 × 76,951
  4. Step 4: Simplify right side
    35,364x = 5,921,456,401
  5. Step 5: Solve for x
    x = 5,921,456,401/35,364
  6. Step 6: Final answer
    x = 167,443.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.