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Finding the Third Proportional to 872.50 and 1,905.50

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Solution

The third proportional to 872.50 and 1,905.50 is: 4,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.50 : 1,905.50 = 1,905.50 : x
  2. Step 2: Convert to fraction form
    872.50/1,905.50 = 1,905.50/x
  3. Step 3: Cross multiply
    872.50x = 1,905.50 × 1,905.50
  4. Step 4: Simplify right side
    872.50x = 3,630,930.25
  5. Step 5: Solve for x
    x = 3,630,930.25/872.50
  6. Step 6: Final answer
    x = 4,161.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.