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Finding the Third Proportional to 4,104.84 and 9,004.08

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Solution

The third proportional to 4,104.84 and 9,004.08 is: 19,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.84 : 9,004.08 = 9,004.08 : x
  2. Step 2: Convert to fraction form
    4,104.84/9,004.08 = 9,004.08/x
  3. Step 3: Cross multiply
    4,104.84x = 9,004.08 × 9,004.08
  4. Step 4: Simplify right side
    4,104.84x = 81,073,422.88
  5. Step 5: Solve for x
    x = 81,073,422.88/4,104.84
  6. Step 6: Final answer
    x = 19,750.67

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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.