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Finding the Third Proportional to 23,353 and 36,530

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Solution

The third proportional to 23,353 and 36,530 is: 57,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353 : 36,530 = 36,530 : x
  2. Step 2: Convert to fraction form
    23,353/36,530 = 36,530/x
  3. Step 3: Cross multiply
    23,353x = 36,530 × 36,530
  4. Step 4: Simplify right side
    23,353x = 1,334,440,900
  5. Step 5: Solve for x
    x = 1,334,440,900/23,353
  6. Step 6: Final answer
    x = 57,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.