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Finding the Third Proportional to 4,880.25 and 7,353.28

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Solution

The third proportional to 4,880.25 and 7,353.28 is: 11,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.25 : 7,353.28 = 7,353.28 : x
  2. Step 2: Convert to fraction form
    4,880.25/7,353.28 = 7,353.28/x
  3. Step 3: Cross multiply
    4,880.25x = 7,353.28 × 7,353.28
  4. Step 4: Simplify right side
    4,880.25x = 54,070,745.14
  5. Step 5: Solve for x
    x = 54,070,745.14/4,880.25
  6. Step 6: Final answer
    x = 11,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.