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Finding the Third Proportional to 23,842 and 35,637

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Solution

The third proportional to 23,842 and 35,637 is: 53,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842 : 35,637 = 35,637 : x
  2. Step 2: Convert to fraction form
    23,842/35,637 = 35,637/x
  3. Step 3: Cross multiply
    23,842x = 35,637 × 35,637
  4. Step 4: Simplify right side
    23,842x = 1,269,995,769
  5. Step 5: Solve for x
    x = 1,269,995,769/23,842
  6. Step 6: Final answer
    x = 53,267.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.