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Finding the Third Proportional to 24,869 and 35,155.25

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Solution

The third proportional to 24,869 and 35,155.25 is: 49,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 35,155.25 = 35,155.25 : x
  2. Step 2: Convert to fraction form
    24,869/35,155.25 = 35,155.25/x
  3. Step 3: Cross multiply
    24,869x = 35,155.25 × 35,155.25
  4. Step 4: Simplify right side
    24,869x = 1,235,891,602.56
  5. Step 5: Solve for x
    x = 1,235,891,602.56/24,869
  6. Step 6: Final answer
    x = 49,696.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.