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Finding the Third Proportional to 5,251 and 8,594

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Solution

The third proportional to 5,251 and 8,594 is: 14,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251 : 8,594 = 8,594 : x
  2. Step 2: Convert to fraction form
    5,251/8,594 = 8,594/x
  3. Step 3: Cross multiply
    5,251x = 8,594 × 8,594
  4. Step 4: Simplify right side
    5,251x = 73,856,836
  5. Step 5: Solve for x
    x = 73,856,836/5,251
  6. Step 6: Final answer
    x = 14,065.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.