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Finding the Third Proportional to 2,560.36 and 5,625.07

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Solution

The third proportional to 2,560.36 and 5,625.07 is: 12,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.36 : 5,625.07 = 5,625.07 : x
  2. Step 2: Convert to fraction form
    2,560.36/5,625.07 = 5,625.07/x
  3. Step 3: Cross multiply
    2,560.36x = 5,625.07 × 5,625.07
  4. Step 4: Simplify right side
    2,560.36x = 31,641,416.02
  5. Step 5: Solve for x
    x = 31,641,416.02/2,560.36
  6. Step 6: Final answer
    x = 12,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.