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Finding the Third Proportional to 29,620 and 65,244

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Solution

The third proportional to 29,620 and 65,244 is: 143,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,620 : 65,244 = 65,244 : x
  2. Step 2: Convert to fraction form
    29,620/65,244 = 65,244/x
  3. Step 3: Cross multiply
    29,620x = 65,244 × 65,244
  4. Step 4: Simplify right side
    29,620x = 4,256,779,536
  5. Step 5: Solve for x
    x = 4,256,779,536/29,620
  6. Step 6: Final answer
    x = 143,713.02

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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.