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Finding the Third Proportional to 995.91 and 1,367.30

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Solution

The third proportional to 995.91 and 1,367.30 is: 1,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.91 : 1,367.30 = 1,367.30 : x
  2. Step 2: Convert to fraction form
    995.91/1,367.30 = 1,367.30/x
  3. Step 3: Cross multiply
    995.91x = 1,367.30 × 1,367.30
  4. Step 4: Simplify right side
    995.91x = 1,869,500.74
  5. Step 5: Solve for x
    x = 1,869,500.74/995.91
  6. Step 6: Final answer
    x = 1,877.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.