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Finding the Third Proportional to 29,800 and 65,504

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Solution

The third proportional to 29,800 and 65,504 is: 143,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800 : 65,504 = 65,504 : x
  2. Step 2: Convert to fraction form
    29,800/65,504 = 65,504/x
  3. Step 3: Cross multiply
    29,800x = 65,504 × 65,504
  4. Step 4: Simplify right side
    29,800x = 4,290,774,016
  5. Step 5: Solve for x
    x = 4,290,774,016/29,800
  6. Step 6: Final answer
    x = 143,985.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.