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Finding the Third Proportional to 4,213 and 6,320

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Solution

The third proportional to 4,213 and 6,320 is: 9,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,320 = 6,320 : x
  2. Step 2: Convert to fraction form
    4,213/6,320 = 6,320/x
  3. Step 3: Cross multiply
    4,213x = 6,320 × 6,320
  4. Step 4: Simplify right side
    4,213x = 39,942,400
  5. Step 5: Solve for x
    x = 39,942,400/4,213
  6. Step 6: Final answer
    x = 9,480.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.