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Finding the Third Proportional to 966.66 and 1,967.91

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Solution

The third proportional to 966.66 and 1,967.91 is: 4,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.66 : 1,967.91 = 1,967.91 : x
  2. Step 2: Convert to fraction form
    966.66/1,967.91 = 1,967.91/x
  3. Step 3: Cross multiply
    966.66x = 1,967.91 × 1,967.91
  4. Step 4: Simplify right side
    966.66x = 3,872,655.01
  5. Step 5: Solve for x
    x = 3,872,655.01/966.66
  6. Step 6: Final answer
    x = 4,006.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.