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Finding the Third Proportional to 3,564.56 and 5,455.13

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Solution

The third proportional to 3,564.56 and 5,455.13 is: 8,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 5,455.13 = 5,455.13 : x
  2. Step 2: Convert to fraction form
    3,564.56/5,455.13 = 5,455.13/x
  3. Step 3: Cross multiply
    3,564.56x = 5,455.13 × 5,455.13
  4. Step 4: Simplify right side
    3,564.56x = 29,758,388.77
  5. Step 5: Solve for x
    x = 29,758,388.77/3,564.56
  6. Step 6: Final answer
    x = 8,348.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.