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Finding the Third Proportional to 869 and 1,872.50

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Solution

The third proportional to 869 and 1,872.50 is: 4,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,872.50 = 1,872.50 : x
  2. Step 2: Convert to fraction form
    869/1,872.50 = 1,872.50/x
  3. Step 3: Cross multiply
    869x = 1,872.50 × 1,872.50
  4. Step 4: Simplify right side
    869x = 3,506,256.25
  5. Step 5: Solve for x
    x = 3,506,256.25/869
  6. Step 6: Final answer
    x = 4,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.