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Finding the Third Proportional to 1,539.84 and 2,519.02

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Solution

The third proportional to 1,539.84 and 2,519.02 is: 4,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.84 : 2,519.02 = 2,519.02 : x
  2. Step 2: Convert to fraction form
    1,539.84/2,519.02 = 2,519.02/x
  3. Step 3: Cross multiply
    1,539.84x = 2,519.02 × 2,519.02
  4. Step 4: Simplify right side
    1,539.84x = 6,345,439.72
  5. Step 5: Solve for x
    x = 6,345,439.72/1,539.84
  6. Step 6: Final answer
    x = 4,120.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.