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Finding the Third Proportional to 29,834 and 65,498

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Solution

The third proportional to 29,834 and 65,498 is: 143,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834 : 65,498 = 65,498 : x
  2. Step 2: Convert to fraction form
    29,834/65,498 = 65,498/x
  3. Step 3: Cross multiply
    29,834x = 65,498 × 65,498
  4. Step 4: Simplify right side
    29,834x = 4,289,988,004
  5. Step 5: Solve for x
    x = 4,289,988,004/29,834
  6. Step 6: Final answer
    x = 143,795.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.