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Finding the Third Proportional to 22,734 and 47,655

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Solution

The third proportional to 22,734 and 47,655 is: 99,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 47,655 = 47,655 : x
  2. Step 2: Convert to fraction form
    22,734/47,655 = 47,655/x
  3. Step 3: Cross multiply
    22,734x = 47,655 × 47,655
  4. Step 4: Simplify right side
    22,734x = 2,270,999,025
  5. Step 5: Solve for x
    x = 2,270,999,025/22,734
  6. Step 6: Final answer
    x = 99,894.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.