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Finding the Third Proportional to 6,869 and 10,202

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Solution

The third proportional to 6,869 and 10,202 is: 15,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869 : 10,202 = 10,202 : x
  2. Step 2: Convert to fraction form
    6,869/10,202 = 10,202/x
  3. Step 3: Cross multiply
    6,869x = 10,202 × 10,202
  4. Step 4: Simplify right side
    6,869x = 104,080,804
  5. Step 5: Solve for x
    x = 104,080,804/6,869
  6. Step 6: Final answer
    x = 15,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.