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Finding the Third Proportional to 2,550.08 and 5,407.70

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Solution

The third proportional to 2,550.08 and 5,407.70 is: 11,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.08 : 5,407.70 = 5,407.70 : x
  2. Step 2: Convert to fraction form
    2,550.08/5,407.70 = 5,407.70/x
  3. Step 3: Cross multiply
    2,550.08x = 5,407.70 × 5,407.70
  4. Step 4: Simplify right side
    2,550.08x = 29,243,210.84
  5. Step 5: Solve for x
    x = 29,243,210.84/2,550.08
  6. Step 6: Final answer
    x = 11,467.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.