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Finding the Third Proportional to 23,507 and 36,005

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Solution

The third proportional to 23,507 and 36,005 is: 55,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507 : 36,005 = 36,005 : x
  2. Step 2: Convert to fraction form
    23,507/36,005 = 36,005/x
  3. Step 3: Cross multiply
    23,507x = 36,005 × 36,005
  4. Step 4: Simplify right side
    23,507x = 1,296,360,025
  5. Step 5: Solve for x
    x = 1,296,360,025/23,507
  6. Step 6: Final answer
    x = 55,147.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.