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Finding the Third Proportional to 6,284 and 8,533

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Solution

The third proportional to 6,284 and 8,533 is: 11,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 8,533 = 8,533 : x
  2. Step 2: Convert to fraction form
    6,284/8,533 = 8,533/x
  3. Step 3: Cross multiply
    6,284x = 8,533 × 8,533
  4. Step 4: Simplify right side
    6,284x = 72,812,089
  5. Step 5: Solve for x
    x = 72,812,089/6,284
  6. Step 6: Final answer
    x = 11,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.