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Finding the Third Proportional to 3,820 and 5,370

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Solution

The third proportional to 3,820 and 5,370 is: 7,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820 : 5,370 = 5,370 : x
  2. Step 2: Convert to fraction form
    3,820/5,370 = 5,370/x
  3. Step 3: Cross multiply
    3,820x = 5,370 × 5,370
  4. Step 4: Simplify right side
    3,820x = 28,836,900
  5. Step 5: Solve for x
    x = 28,836,900/3,820
  6. Step 6: Final answer
    x = 7,548.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.