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Finding the Third Proportional to 9,308.74 and 20,255.48

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Solution

The third proportional to 9,308.74 and 20,255.48 is: 44,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.74 : 20,255.48 = 20,255.48 : x
  2. Step 2: Convert to fraction form
    9,308.74/20,255.48 = 20,255.48/x
  3. Step 3: Cross multiply
    9,308.74x = 20,255.48 × 20,255.48
  4. Step 4: Simplify right side
    9,308.74x = 410,284,647.27
  5. Step 5: Solve for x
    x = 410,284,647.27/9,308.74
  6. Step 6: Final answer
    x = 44,075.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.