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Finding the Third Proportional to 10,958 and 24,100

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Solution

The third proportional to 10,958 and 24,100 is: 53,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958 : 24,100 = 24,100 : x
  2. Step 2: Convert to fraction form
    10,958/24,100 = 24,100/x
  3. Step 3: Cross multiply
    10,958x = 24,100 × 24,100
  4. Step 4: Simplify right side
    10,958x = 580,810,000
  5. Step 5: Solve for x
    x = 580,810,000/10,958
  6. Step 6: Final answer
    x = 53,003.29

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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.