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Finding the Third Proportional to 995.91 and 1,967.06

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Solution

The third proportional to 995.91 and 1,967.06 is: 3,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.91 : 1,967.06 = 1,967.06 : x
  2. Step 2: Convert to fraction form
    995.91/1,967.06 = 1,967.06/x
  3. Step 3: Cross multiply
    995.91x = 1,967.06 × 1,967.06
  4. Step 4: Simplify right side
    995.91x = 3,869,334.88
  5. Step 5: Solve for x
    x = 3,869,334.88/995.91
  6. Step 6: Final answer
    x = 3,885.24

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.