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Finding the Third Proportional to 23,244 and 34,918

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Solution

The third proportional to 23,244 and 34,918 is: 52,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244 : 34,918 = 34,918 : x
  2. Step 2: Convert to fraction form
    23,244/34,918 = 34,918/x
  3. Step 3: Cross multiply
    23,244x = 34,918 × 34,918
  4. Step 4: Simplify right side
    23,244x = 1,219,266,724
  5. Step 5: Solve for x
    x = 1,219,266,724/23,244
  6. Step 6: Final answer
    x = 52,455.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.