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Finding the Third Proportional to 23,008 and 34,627

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Solution

The third proportional to 23,008 and 34,627 is: 52,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 34,627 = 34,627 : x
  2. Step 2: Convert to fraction form
    23,008/34,627 = 34,627/x
  3. Step 3: Cross multiply
    23,008x = 34,627 × 34,627
  4. Step 4: Simplify right side
    23,008x = 1,199,029,129
  5. Step 5: Solve for x
    x = 1,199,029,129/23,008
  6. Step 6: Final answer
    x = 52,113.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.