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Finding the Third Proportional to 24,096 and 51,264

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Solution

The third proportional to 24,096 and 51,264 is: 109,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 51,264 = 51,264 : x
  2. Step 2: Convert to fraction form
    24,096/51,264 = 51,264/x
  3. Step 3: Cross multiply
    24,096x = 51,264 × 51,264
  4. Step 4: Simplify right side
    24,096x = 2,627,997,696
  5. Step 5: Solve for x
    x = 2,627,997,696/24,096
  6. Step 6: Final answer
    x = 109,063.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.