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Finding the Third Proportional to 2,825.74 and 6,137.96

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Solution

The third proportional to 2,825.74 and 6,137.96 is: 13,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.74 : 6,137.96 = 6,137.96 : x
  2. Step 2: Convert to fraction form
    2,825.74/6,137.96 = 6,137.96/x
  3. Step 3: Cross multiply
    2,825.74x = 6,137.96 × 6,137.96
  4. Step 4: Simplify right side
    2,825.74x = 37,674,612.42
  5. Step 5: Solve for x
    x = 37,674,612.42/2,825.74
  6. Step 6: Final answer
    x = 13,332.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.