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Finding the Third Proportional to 5,984 and 8,566

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Solution

The third proportional to 5,984 and 8,566 is: 12,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 8,566 = 8,566 : x
  2. Step 2: Convert to fraction form
    5,984/8,566 = 8,566/x
  3. Step 3: Cross multiply
    5,984x = 8,566 × 8,566
  4. Step 4: Simplify right side
    5,984x = 73,376,356
  5. Step 5: Solve for x
    x = 73,376,356/5,984
  6. Step 6: Final answer
    x = 12,262.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.