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Finding the Third Proportional to 29,598 and 65,029

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Solution

The third proportional to 29,598 and 65,029 is: 142,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598 : 65,029 = 65,029 : x
  2. Step 2: Convert to fraction form
    29,598/65,029 = 65,029/x
  3. Step 3: Cross multiply
    29,598x = 65,029 × 65,029
  4. Step 4: Simplify right side
    29,598x = 4,228,770,841
  5. Step 5: Solve for x
    x = 4,228,770,841/29,598
  6. Step 6: Final answer
    x = 142,873.53

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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.