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Finding the Third Proportional to 4,271.06 and 5,664.09

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Solution

The third proportional to 4,271.06 and 5,664.09 is: 7,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.06 : 5,664.09 = 5,664.09 : x
  2. Step 2: Convert to fraction form
    4,271.06/5,664.09 = 5,664.09/x
  3. Step 3: Cross multiply
    4,271.06x = 5,664.09 × 5,664.09
  4. Step 4: Simplify right side
    4,271.06x = 32,081,958.01
  5. Step 5: Solve for x
    x = 32,081,958.01/4,271.06
  6. Step 6: Final answer
    x = 7,511.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.