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Finding the Third Proportional to 2,600.06 and 3,975.94

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Solution

The third proportional to 2,600.06 and 3,975.94 is: 6,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.06 : 3,975.94 = 3,975.94 : x
  2. Step 2: Convert to fraction form
    2,600.06/3,975.94 = 3,975.94/x
  3. Step 3: Cross multiply
    2,600.06x = 3,975.94 × 3,975.94
  4. Step 4: Simplify right side
    2,600.06x = 15,808,079.00
  5. Step 5: Solve for x
    x = 15,808,079.00/2,600.06
  6. Step 6: Final answer
    x = 6,079.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.