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Finding the Third Proportional to 1,282.08 and 2,025.63

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Solution

The third proportional to 1,282.08 and 2,025.63 is: 3,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.08 : 2,025.63 = 2,025.63 : x
  2. Step 2: Convert to fraction form
    1,282.08/2,025.63 = 2,025.63/x
  3. Step 3: Cross multiply
    1,282.08x = 2,025.63 × 2,025.63
  4. Step 4: Simplify right side
    1,282.08x = 4,103,188.29
  5. Step 5: Solve for x
    x = 4,103,188.29/1,282.08
  6. Step 6: Final answer
    x = 3,200.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.