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Finding the Third Proportional to 4,218 and 6,319

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Solution

The third proportional to 4,218 and 6,319 is: 9,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 6,319 = 6,319 : x
  2. Step 2: Convert to fraction form
    4,218/6,319 = 6,319/x
  3. Step 3: Cross multiply
    4,218x = 6,319 × 6,319
  4. Step 4: Simplify right side
    4,218x = 39,929,761
  5. Step 5: Solve for x
    x = 39,929,761/4,218
  6. Step 6: Final answer
    x = 9,466.52

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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.