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Finding the Third Proportional to 5,116 and 8,475

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Solution

The third proportional to 5,116 and 8,475 is: 14,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116 : 8,475 = 8,475 : x
  2. Step 2: Convert to fraction form
    5,116/8,475 = 8,475/x
  3. Step 3: Cross multiply
    5,116x = 8,475 × 8,475
  4. Step 4: Simplify right side
    5,116x = 71,825,625
  5. Step 5: Solve for x
    x = 71,825,625/5,116
  6. Step 6: Final answer
    x = 14,039.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.