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Finding the Third Proportional to 29,264 and 65,100

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Solution

The third proportional to 29,264 and 65,100 is: 144,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264 : 65,100 = 65,100 : x
  2. Step 2: Convert to fraction form
    29,264/65,100 = 65,100/x
  3. Step 3: Cross multiply
    29,264x = 65,100 × 65,100
  4. Step 4: Simplify right side
    29,264x = 4,238,010,000
  5. Step 5: Solve for x
    x = 4,238,010,000/29,264
  6. Step 6: Final answer
    x = 144,819.92

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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.