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Finding the Third Proportional to 29,619 and 65,799

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Solution

The third proportional to 29,619 and 65,799 is: 146,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,619 : 65,799 = 65,799 : x
  2. Step 2: Convert to fraction form
    29,619/65,799 = 65,799/x
  3. Step 3: Cross multiply
    29,619x = 65,799 × 65,799
  4. Step 4: Simplify right side
    29,619x = 4,329,508,401
  5. Step 5: Solve for x
    x = 4,329,508,401/29,619
  6. Step 6: Final answer
    x = 146,173.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.