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Finding the Third Proportional to 23,924 and 34,246

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Solution

The third proportional to 23,924 and 34,246 is: 49,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924 : 34,246 = 34,246 : x
  2. Step 2: Convert to fraction form
    23,924/34,246 = 34,246/x
  3. Step 3: Cross multiply
    23,924x = 34,246 × 34,246
  4. Step 4: Simplify right side
    23,924x = 1,172,788,516
  5. Step 5: Solve for x
    x = 1,172,788,516/23,924
  6. Step 6: Final answer
    x = 49,021.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.