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Finding the Third Proportional to 1,926.28 and 2,884.68

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Solution

The third proportional to 1,926.28 and 2,884.68 is: 4,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.28 : 2,884.68 = 2,884.68 : x
  2. Step 2: Convert to fraction form
    1,926.28/2,884.68 = 2,884.68/x
  3. Step 3: Cross multiply
    1,926.28x = 2,884.68 × 2,884.68
  4. Step 4: Simplify right side
    1,926.28x = 8,321,354.36
  5. Step 5: Solve for x
    x = 8,321,354.36/1,926.28
  6. Step 6: Final answer
    x = 4,319.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.