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Finding the Third Proportional to 23,806 and 56,293

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Solution

The third proportional to 23,806 and 56,293 is: 133,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806 : 56,293 = 56,293 : x
  2. Step 2: Convert to fraction form
    23,806/56,293 = 56,293/x
  3. Step 3: Cross multiply
    23,806x = 56,293 × 56,293
  4. Step 4: Simplify right side
    23,806x = 3,168,901,849
  5. Step 5: Solve for x
    x = 3,168,901,849/23,806
  6. Step 6: Final answer
    x = 133,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.