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Finding the Third Proportional to 1,926.44 and 4,160.43

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Solution

The third proportional to 1,926.44 and 4,160.43 is: 8,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.44 : 4,160.43 = 4,160.43 : x
  2. Step 2: Convert to fraction form
    1,926.44/4,160.43 = 4,160.43/x
  3. Step 3: Cross multiply
    1,926.44x = 4,160.43 × 4,160.43
  4. Step 4: Simplify right side
    1,926.44x = 17,309,142.68
  5. Step 5: Solve for x
    x = 17,309,142.68/1,926.44
  6. Step 6: Final answer
    x = 8,985.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.