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Finding the Third Proportional to 1,719.28 and 2,582.72

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Solution

The third proportional to 1,719.28 and 2,582.72 is: 3,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.28 : 2,582.72 = 2,582.72 : x
  2. Step 2: Convert to fraction form
    1,719.28/2,582.72 = 2,582.72/x
  3. Step 3: Cross multiply
    1,719.28x = 2,582.72 × 2,582.72
  4. Step 4: Simplify right side
    1,719.28x = 6,670,436.14
  5. Step 5: Solve for x
    x = 6,670,436.14/1,719.28
  6. Step 6: Final answer
    x = 3,879.78

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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.