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Finding the Third Proportional to 29,277 and 65,103.75

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Solution

The third proportional to 29,277 and 65,103.75 is: 144,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277 : 65,103.75 = 65,103.75 : x
  2. Step 2: Convert to fraction form
    29,277/65,103.75 = 65,103.75/x
  3. Step 3: Cross multiply
    29,277x = 65,103.75 × 65,103.75
  4. Step 4: Simplify right side
    29,277x = 4,238,498,264.06
  5. Step 5: Solve for x
    x = 4,238,498,264.06/29,277
  6. Step 6: Final answer
    x = 144,772.29

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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.