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Finding the Third Proportional to 23,500 and 34,312

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Solution

The third proportional to 23,500 and 34,312 is: 50,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500 : 34,312 = 34,312 : x
  2. Step 2: Convert to fraction form
    23,500/34,312 = 34,312/x
  3. Step 3: Cross multiply
    23,500x = 34,312 × 34,312
  4. Step 4: Simplify right side
    23,500x = 1,177,313,344
  5. Step 5: Solve for x
    x = 1,177,313,344/23,500
  6. Step 6: Final answer
    x = 50,098.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.