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Finding the Third Proportional to 5,219 and 10,869.25

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Solution

The third proportional to 5,219 and 10,869.25 is: 22,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219 : 10,869.25 = 10,869.25 : x
  2. Step 2: Convert to fraction form
    5,219/10,869.25 = 10,869.25/x
  3. Step 3: Cross multiply
    5,219x = 10,869.25 × 10,869.25
  4. Step 4: Simplify right side
    5,219x = 118,140,595.56
  5. Step 5: Solve for x
    x = 118,140,595.56/5,219
  6. Step 6: Final answer
    x = 22,636.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.