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Finding the Third Proportional to 2,681.44 and 4,023.84

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Solution

The third proportional to 2,681.44 and 4,023.84 is: 6,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.44 : 4,023.84 = 4,023.84 : x
  2. Step 2: Convert to fraction form
    2,681.44/4,023.84 = 4,023.84/x
  3. Step 3: Cross multiply
    2,681.44x = 4,023.84 × 4,023.84
  4. Step 4: Simplify right side
    2,681.44x = 16,191,318.52
  5. Step 5: Solve for x
    x = 16,191,318.52/2,681.44
  6. Step 6: Final answer
    x = 6,038.30

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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.