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Finding the Third Proportional to 5,027.54 and 7,396.08

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Solution

The third proportional to 5,027.54 and 7,396.08 is: 10,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.54 : 7,396.08 = 7,396.08 : x
  2. Step 2: Convert to fraction form
    5,027.54/7,396.08 = 7,396.08/x
  3. Step 3: Cross multiply
    5,027.54x = 7,396.08 × 7,396.08
  4. Step 4: Simplify right side
    5,027.54x = 54,701,928.29
  5. Step 5: Solve for x
    x = 54,701,928.29/5,027.54
  6. Step 6: Final answer
    x = 10,880.46

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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.