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Finding the Third Proportional to 3,557.56 and 5,220.94

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Solution

The third proportional to 3,557.56 and 5,220.94 is: 7,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.56 : 5,220.94 = 5,220.94 : x
  2. Step 2: Convert to fraction form
    3,557.56/5,220.94 = 5,220.94/x
  3. Step 3: Cross multiply
    3,557.56x = 5,220.94 × 5,220.94
  4. Step 4: Simplify right side
    3,557.56x = 27,258,188.38
  5. Step 5: Solve for x
    x = 27,258,188.38/3,557.56
  6. Step 6: Final answer
    x = 7,662.04

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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.