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Finding the Third Proportional to 23,246 and 54,869

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Solution

The third proportional to 23,246 and 54,869 is: 129,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246 : 54,869 = 54,869 : x
  2. Step 2: Convert to fraction form
    23,246/54,869 = 54,869/x
  3. Step 3: Cross multiply
    23,246x = 54,869 × 54,869
  4. Step 4: Simplify right side
    23,246x = 3,010,607,161
  5. Step 5: Solve for x
    x = 3,010,607,161/23,246
  6. Step 6: Final answer
    x = 129,510.76

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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.