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Finding the Third Proportional to 4,576 and 7,284

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Solution

The third proportional to 4,576 and 7,284 is: 11,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 7,284 = 7,284 : x
  2. Step 2: Convert to fraction form
    4,576/7,284 = 7,284/x
  3. Step 3: Cross multiply
    4,576x = 7,284 × 7,284
  4. Step 4: Simplify right side
    4,576x = 53,056,656
  5. Step 5: Solve for x
    x = 53,056,656/4,576
  6. Step 6: Final answer
    x = 11,594.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.