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Finding the Third Proportional to 29,898 and 65,601

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Solution

The third proportional to 29,898 and 65,601 is: 143,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,898 : 65,601 = 65,601 : x
  2. Step 2: Convert to fraction form
    29,898/65,601 = 65,601/x
  3. Step 3: Cross multiply
    29,898x = 65,601 × 65,601
  4. Step 4: Simplify right side
    29,898x = 4,303,491,201
  5. Step 5: Solve for x
    x = 4,303,491,201/29,898
  6. Step 6: Final answer
    x = 143,939.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.