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Finding the Third Proportional to 2,425.57 and 5,197.08

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Solution

The third proportional to 2,425.57 and 5,197.08 is: 11,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.57 : 5,197.08 = 5,197.08 : x
  2. Step 2: Convert to fraction form
    2,425.57/5,197.08 = 5,197.08/x
  3. Step 3: Cross multiply
    2,425.57x = 5,197.08 × 5,197.08
  4. Step 4: Simplify right side
    2,425.57x = 27,009,621.04
  5. Step 5: Solve for x
    x = 27,009,621.04/2,425.57
  6. Step 6: Final answer
    x = 11,135.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.