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Finding the Third Proportional to 12,229 and 26,803

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Solution

The third proportional to 12,229 and 26,803 is: 58,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229 : 26,803 = 26,803 : x
  2. Step 2: Convert to fraction form
    12,229/26,803 = 26,803/x
  3. Step 3: Cross multiply
    12,229x = 26,803 × 26,803
  4. Step 4: Simplify right side
    12,229x = 718,400,809
  5. Step 5: Solve for x
    x = 718,400,809/12,229
  6. Step 6: Final answer
    x = 58,745.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.