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Finding the Third Proportional to 19,827.75 and 26,433.75

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Solution

The third proportional to 19,827.75 and 26,433.75 is: 35,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.75 : 26,433.75 = 26,433.75 : x
  2. Step 2: Convert to fraction form
    19,827.75/26,433.75 = 26,433.75/x
  3. Step 3: Cross multiply
    19,827.75x = 26,433.75 × 26,433.75
  4. Step 4: Simplify right side
    19,827.75x = 698,743,139.06
  5. Step 5: Solve for x
    x = 698,743,139.06/19,827.75
  6. Step 6: Final answer
    x = 35,240.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.