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Finding the Third Proportional to 29,995 and 65,868

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Solution

The third proportional to 29,995 and 65,868 is: 144,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995 : 65,868 = 65,868 : x
  2. Step 2: Convert to fraction form
    29,995/65,868 = 65,868/x
  3. Step 3: Cross multiply
    29,995x = 65,868 × 65,868
  4. Step 4: Simplify right side
    29,995x = 4,338,593,424
  5. Step 5: Solve for x
    x = 4,338,593,424/29,995
  6. Step 6: Final answer
    x = 144,643.89

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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.