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Finding the Third Proportional to 24,372 and 35,692

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Solution

The third proportional to 24,372 and 35,692 is: 52,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372 : 35,692 = 35,692 : x
  2. Step 2: Convert to fraction form
    24,372/35,692 = 35,692/x
  3. Step 3: Cross multiply
    24,372x = 35,692 × 35,692
  4. Step 4: Simplify right side
    24,372x = 1,273,918,864
  5. Step 5: Solve for x
    x = 1,273,918,864/24,372
  6. Step 6: Final answer
    x = 52,269.77

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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.