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Finding the Third Proportional to 24,832 and 53,024

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Solution

The third proportional to 24,832 and 53,024 is: 113,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 53,024 = 53,024 : x
  2. Step 2: Convert to fraction form
    24,832/53,024 = 53,024/x
  3. Step 3: Cross multiply
    24,832x = 53,024 × 53,024
  4. Step 4: Simplify right side
    24,832x = 2,811,544,576
  5. Step 5: Solve for x
    x = 2,811,544,576/24,832
  6. Step 6: Final answer
    x = 113,222.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.