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Finding the Third Proportional to 4,325.58 and 6,680.04

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Solution

The third proportional to 4,325.58 and 6,680.04 is: 10,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.58 : 6,680.04 = 6,680.04 : x
  2. Step 2: Convert to fraction form
    4,325.58/6,680.04 = 6,680.04/x
  3. Step 3: Cross multiply
    4,325.58x = 6,680.04 × 6,680.04
  4. Step 4: Simplify right side
    4,325.58x = 44,622,921.88
  5. Step 5: Solve for x
    x = 44,622,921.88/4,325.58
  6. Step 6: Final answer
    x = 10,316.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.