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Finding the Third Proportional to 29,785 and 65,497

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Solution

The third proportional to 29,785 and 65,497 is: 144,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785 : 65,497 = 65,497 : x
  2. Step 2: Convert to fraction form
    29,785/65,497 = 65,497/x
  3. Step 3: Cross multiply
    29,785x = 65,497 × 65,497
  4. Step 4: Simplify right side
    29,785x = 4,289,857,009
  5. Step 5: Solve for x
    x = 4,289,857,009/29,785
  6. Step 6: Final answer
    x = 144,027.43

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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.