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Finding the Third Proportional to 2,748.94 and 6,025.64

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Solution

The third proportional to 2,748.94 and 6,025.64 is: 13,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.94 : 6,025.64 = 6,025.64 : x
  2. Step 2: Convert to fraction form
    2,748.94/6,025.64 = 6,025.64/x
  3. Step 3: Cross multiply
    2,748.94x = 6,025.64 × 6,025.64
  4. Step 4: Simplify right side
    2,748.94x = 36,308,344.94
  5. Step 5: Solve for x
    x = 36,308,344.94/2,748.94
  6. Step 6: Final answer
    x = 13,208.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.