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Finding the Third Proportional to 23,821 and 35,613

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Solution

The third proportional to 23,821 and 35,613 is: 53,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821 : 35,613 = 35,613 : x
  2. Step 2: Convert to fraction form
    23,821/35,613 = 35,613/x
  3. Step 3: Cross multiply
    23,821x = 35,613 × 35,613
  4. Step 4: Simplify right side
    23,821x = 1,268,285,769
  5. Step 5: Solve for x
    x = 1,268,285,769/23,821
  6. Step 6: Final answer
    x = 53,242.34

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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.