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Finding the Third Proportional to 23,834 and 35,062

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Solution

The third proportional to 23,834 and 35,062 is: 51,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834 : 35,062 = 35,062 : x
  2. Step 2: Convert to fraction form
    23,834/35,062 = 35,062/x
  3. Step 3: Cross multiply
    23,834x = 35,062 × 35,062
  4. Step 4: Simplify right side
    23,834x = 1,229,343,844
  5. Step 5: Solve for x
    x = 1,229,343,844/23,834
  6. Step 6: Final answer
    x = 51,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.