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Finding the Third Proportional to 23,924 and 36,723

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Solution

The third proportional to 23,924 and 36,723 is: 56,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924 : 36,723 = 36,723 : x
  2. Step 2: Convert to fraction form
    23,924/36,723 = 36,723/x
  3. Step 3: Cross multiply
    23,924x = 36,723 × 36,723
  4. Step 4: Simplify right side
    23,924x = 1,348,578,729
  5. Step 5: Solve for x
    x = 1,348,578,729/23,924
  6. Step 6: Final answer
    x = 56,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.