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Finding the Third Proportional to 23,912 and 35,019

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Solution

The third proportional to 23,912 and 35,019 is: 51,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912 : 35,019 = 35,019 : x
  2. Step 2: Convert to fraction form
    23,912/35,019 = 35,019/x
  3. Step 3: Cross multiply
    23,912x = 35,019 × 35,019
  4. Step 4: Simplify right side
    23,912x = 1,226,330,361
  5. Step 5: Solve for x
    x = 1,226,330,361/23,912
  6. Step 6: Final answer
    x = 51,285.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.