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Finding the Third Proportional to 3,407.06 and 4,080.38

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Solution

The third proportional to 3,407.06 and 4,080.38 is: 4,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.06 : 4,080.38 = 4,080.38 : x
  2. Step 2: Convert to fraction form
    3,407.06/4,080.38 = 4,080.38/x
  3. Step 3: Cross multiply
    3,407.06x = 4,080.38 × 4,080.38
  4. Step 4: Simplify right side
    3,407.06x = 16,649,460.14
  5. Step 5: Solve for x
    x = 16,649,460.14/3,407.06
  6. Step 6: Final answer
    x = 4,886.75

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.