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Finding the Third Proportional to 15,642 and 23,027

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Solution

The third proportional to 15,642 and 23,027 is: 33,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,027 = 23,027 : x
  2. Step 2: Convert to fraction form
    15,642/23,027 = 23,027/x
  3. Step 3: Cross multiply
    15,642x = 23,027 × 23,027
  4. Step 4: Simplify right side
    15,642x = 530,242,729
  5. Step 5: Solve for x
    x = 530,242,729/15,642
  6. Step 6: Final answer
    x = 33,898.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.