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Finding the Third Proportional to 23,188 and 34,980

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Solution

The third proportional to 23,188 and 34,980 is: 52,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188 : 34,980 = 34,980 : x
  2. Step 2: Convert to fraction form
    23,188/34,980 = 34,980/x
  3. Step 3: Cross multiply
    23,188x = 34,980 × 34,980
  4. Step 4: Simplify right side
    23,188x = 1,223,600,400
  5. Step 5: Solve for x
    x = 1,223,600,400/23,188
  6. Step 6: Final answer
    x = 52,768.69

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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.