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Finding the Third Proportional to 23,196 and 34,902

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Solution

The third proportional to 23,196 and 34,902 is: 52,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 34,902 = 34,902 : x
  2. Step 2: Convert to fraction form
    23,196/34,902 = 34,902/x
  3. Step 3: Cross multiply
    23,196x = 34,902 × 34,902
  4. Step 4: Simplify right side
    23,196x = 1,218,149,604
  5. Step 5: Solve for x
    x = 1,218,149,604/23,196
  6. Step 6: Final answer
    x = 52,515.50

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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.