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Finding the Third Proportional to 27,806.63 and 57,452.63

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Solution

The third proportional to 27,806.63 and 57,452.63 is: 118,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.63 : 57,452.63 = 57,452.63 : x
  2. Step 2: Convert to fraction form
    27,806.63/57,452.63 = 57,452.63/x
  3. Step 3: Cross multiply
    27,806.63x = 57,452.63 × 57,452.63
  4. Step 4: Simplify right side
    27,806.63x = 3,300,804,119.39
  5. Step 5: Solve for x
    x = 3,300,804,119.39/27,806.63
  6. Step 6: Final answer
    x = 118,705.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.