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Finding the Third Proportional to 10,269 and 15,477.75

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Solution

The third proportional to 10,269 and 15,477.75 is: 23,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 15,477.75 = 15,477.75 : x
  2. Step 2: Convert to fraction form
    10,269/15,477.75 = 15,477.75/x
  3. Step 3: Cross multiply
    10,269x = 15,477.75 × 15,477.75
  4. Step 4: Simplify right side
    10,269x = 239,560,745.06
  5. Step 5: Solve for x
    x = 239,560,745.06/10,269
  6. Step 6: Final answer
    x = 23,328.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.