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Finding the Third Proportional to 22,677 and 48,054

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Solution

The third proportional to 22,677 and 48,054 is: 101,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677 : 48,054 = 48,054 : x
  2. Step 2: Convert to fraction form
    22,677/48,054 = 48,054/x
  3. Step 3: Cross multiply
    22,677x = 48,054 × 48,054
  4. Step 4: Simplify right side
    22,677x = 2,309,186,916
  5. Step 5: Solve for x
    x = 2,309,186,916/22,677
  6. Step 6: Final answer
    x = 101,829.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.