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Finding the Third Proportional to 3,541.06 and 5,508.08

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Solution

The third proportional to 3,541.06 and 5,508.08 is: 8,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.06 : 5,508.08 = 5,508.08 : x
  2. Step 2: Convert to fraction form
    3,541.06/5,508.08 = 5,508.08/x
  3. Step 3: Cross multiply
    3,541.06x = 5,508.08 × 5,508.08
  4. Step 4: Simplify right side
    3,541.06x = 30,338,935.39
  5. Step 5: Solve for x
    x = 30,338,935.39/3,541.06
  6. Step 6: Final answer
    x = 8,567.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.