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Finding the Third Proportional to 3,541.22 and 5,213.95

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Solution

The third proportional to 3,541.22 and 5,213.95 is: 7,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.22 : 5,213.95 = 5,213.95 : x
  2. Step 2: Convert to fraction form
    3,541.22/5,213.95 = 5,213.95/x
  3. Step 3: Cross multiply
    3,541.22x = 5,213.95 × 5,213.95
  4. Step 4: Simplify right side
    3,541.22x = 27,185,307.19
  5. Step 5: Solve for x
    x = 27,185,307.19/3,541.22
  6. Step 6: Final answer
    x = 7,676.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.