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Finding the Third Proportional to 837.50 and 1,005

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Solution

The third proportional to 837.50 and 1,005 is: 1,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.50 : 1,005 = 1,005 : x
  2. Step 2: Convert to fraction form
    837.50/1,005 = 1,005/x
  3. Step 3: Cross multiply
    837.50x = 1,005 × 1,005
  4. Step 4: Simplify right side
    837.50x = 1,010,025
  5. Step 5: Solve for x
    x = 1,010,025/837.50
  6. Step 6: Final answer
    x = 1,206

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.