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Finding the Third Proportional to 24,622 and 53,699

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Solution

The third proportional to 24,622 and 53,699 is: 117,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622 : 53,699 = 53,699 : x
  2. Step 2: Convert to fraction form
    24,622/53,699 = 53,699/x
  3. Step 3: Cross multiply
    24,622x = 53,699 × 53,699
  4. Step 4: Simplify right side
    24,622x = 2,883,582,601
  5. Step 5: Solve for x
    x = 2,883,582,601/24,622
  6. Step 6: Final answer
    x = 117,114.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.