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Finding the Third Proportional to 35,034 and 81,951

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Solution

The third proportional to 35,034 and 81,951 is: 191,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,034 : 81,951 = 81,951 : x
  2. Step 2: Convert to fraction form
    35,034/81,951 = 81,951/x
  3. Step 3: Cross multiply
    35,034x = 81,951 × 81,951
  4. Step 4: Simplify right side
    35,034x = 6,715,966,401
  5. Step 5: Solve for x
    x = 6,715,966,401/35,034
  6. Step 6: Final answer
    x = 191,698.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.