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Finding the Third Proportional to 4,510 and 7,201

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Solution

The third proportional to 4,510 and 7,201 is: 11,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510 : 7,201 = 7,201 : x
  2. Step 2: Convert to fraction form
    4,510/7,201 = 7,201/x
  3. Step 3: Cross multiply
    4,510x = 7,201 × 7,201
  4. Step 4: Simplify right side
    4,510x = 51,854,401
  5. Step 5: Solve for x
    x = 51,854,401/4,510
  6. Step 6: Final answer
    x = 11,497.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.