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Finding the Third Proportional to 24,802 and 34,692

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Solution

The third proportional to 24,802 and 34,692 is: 48,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 34,692 = 34,692 : x
  2. Step 2: Convert to fraction form
    24,802/34,692 = 34,692/x
  3. Step 3: Cross multiply
    24,802x = 34,692 × 34,692
  4. Step 4: Simplify right side
    24,802x = 1,203,534,864
  5. Step 5: Solve for x
    x = 1,203,534,864/24,802
  6. Step 6: Final answer
    x = 48,525.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.