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Finding the Third Proportional to 24,869 and 35,409

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Solution

The third proportional to 24,869 and 35,409 is: 50,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 35,409 = 35,409 : x
  2. Step 2: Convert to fraction form
    24,869/35,409 = 35,409/x
  3. Step 3: Cross multiply
    24,869x = 35,409 × 35,409
  4. Step 4: Simplify right side
    24,869x = 1,253,797,281
  5. Step 5: Solve for x
    x = 1,253,797,281/24,869
  6. Step 6: Final answer
    x = 50,416.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.