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Finding the Third Proportional to 4,084 and 5,430

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Solution

The third proportional to 4,084 and 5,430 is: 7,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 5,430 = 5,430 : x
  2. Step 2: Convert to fraction form
    4,084/5,430 = 5,430/x
  3. Step 3: Cross multiply
    4,084x = 5,430 × 5,430
  4. Step 4: Simplify right side
    4,084x = 29,484,900
  5. Step 5: Solve for x
    x = 29,484,900/4,084
  6. Step 6: Final answer
    x = 7,219.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.