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Finding the Third Proportional to 5,002 and 7,205

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Solution

The third proportional to 5,002 and 7,205 is: 10,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002 : 7,205 = 7,205 : x
  2. Step 2: Convert to fraction form
    5,002/7,205 = 7,205/x
  3. Step 3: Cross multiply
    5,002x = 7,205 × 7,205
  4. Step 4: Simplify right side
    5,002x = 51,912,025
  5. Step 5: Solve for x
    x = 51,912,025/5,002
  6. Step 6: Final answer
    x = 10,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.