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Finding the Third Proportional to 24,121 and 35,236

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Solution

The third proportional to 24,121 and 35,236 is: 51,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121 : 35,236 = 35,236 : x
  2. Step 2: Convert to fraction form
    24,121/35,236 = 35,236/x
  3. Step 3: Cross multiply
    24,121x = 35,236 × 35,236
  4. Step 4: Simplify right side
    24,121x = 1,241,575,696
  5. Step 5: Solve for x
    x = 1,241,575,696/24,121
  6. Step 6: Final answer
    x = 51,472.81

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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.