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Finding the Third Proportional to 23,006 and 34,690

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Solution

The third proportional to 23,006 and 34,690 is: 52,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006 : 34,690 = 34,690 : x
  2. Step 2: Convert to fraction form
    23,006/34,690 = 34,690/x
  3. Step 3: Cross multiply
    23,006x = 34,690 × 34,690
  4. Step 4: Simplify right side
    23,006x = 1,203,396,100
  5. Step 5: Solve for x
    x = 1,203,396,100/23,006
  6. Step 6: Final answer
    x = 52,307.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.