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Finding the Third Proportional to 4,576 and 5,960

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Solution

The third proportional to 4,576 and 5,960 is: 7,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 5,960 = 5,960 : x
  2. Step 2: Convert to fraction form
    4,576/5,960 = 5,960/x
  3. Step 3: Cross multiply
    4,576x = 5,960 × 5,960
  4. Step 4: Simplify right side
    4,576x = 35,521,600
  5. Step 5: Solve for x
    x = 35,521,600/4,576
  6. Step 6: Final answer
    x = 7,762.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.