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Finding the Third Proportional to 3,025.37 and 6,514.28

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Solution

The third proportional to 3,025.37 and 6,514.28 is: 14,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.37 : 6,514.28 = 6,514.28 : x
  2. Step 2: Convert to fraction form
    3,025.37/6,514.28 = 6,514.28/x
  3. Step 3: Cross multiply
    3,025.37x = 6,514.28 × 6,514.28
  4. Step 4: Simplify right side
    3,025.37x = 42,435,809.31
  5. Step 5: Solve for x
    x = 42,435,809.31/3,025.37
  6. Step 6: Final answer
    x = 14,026.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.