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Finding the Third Proportional to 24,186 and 52,530

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Solution

The third proportional to 24,186 and 52,530 is: 114,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186 : 52,530 = 52,530 : x
  2. Step 2: Convert to fraction form
    24,186/52,530 = 52,530/x
  3. Step 3: Cross multiply
    24,186x = 52,530 × 52,530
  4. Step 4: Simplify right side
    24,186x = 2,759,400,900
  5. Step 5: Solve for x
    x = 2,759,400,900/24,186
  6. Step 6: Final answer
    x = 114,090.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.