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Finding the Third Proportional to 5,713 and 8,584

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Solution

The third proportional to 5,713 and 8,584 is: 12,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713 : 8,584 = 8,584 : x
  2. Step 2: Convert to fraction form
    5,713/8,584 = 8,584/x
  3. Step 3: Cross multiply
    5,713x = 8,584 × 8,584
  4. Step 4: Simplify right side
    5,713x = 73,685,056
  5. Step 5: Solve for x
    x = 73,685,056/5,713
  6. Step 6: Final answer
    x = 12,897.79

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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.