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Finding the Third Proportional to 9,077.44 and 18,986.25

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Solution

The third proportional to 9,077.44 and 18,986.25 is: 39,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.44 : 18,986.25 = 18,986.25 : x
  2. Step 2: Convert to fraction form
    9,077.44/18,986.25 = 18,986.25/x
  3. Step 3: Cross multiply
    9,077.44x = 18,986.25 × 18,986.25
  4. Step 4: Simplify right side
    9,077.44x = 360,477,689.06
  5. Step 5: Solve for x
    x = 360,477,689.06/9,077.44
  6. Step 6: Final answer
    x = 39,711.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.