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Finding the Third Proportional to 2,004.47 and 4,734.84

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Solution

The third proportional to 2,004.47 and 4,734.84 is: 11,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.47 : 4,734.84 = 4,734.84 : x
  2. Step 2: Convert to fraction form
    2,004.47/4,734.84 = 4,734.84/x
  3. Step 3: Cross multiply
    2,004.47x = 4,734.84 × 4,734.84
  4. Step 4: Simplify right side
    2,004.47x = 22,418,745.34
  5. Step 5: Solve for x
    x = 22,418,745.34/2,004.47
  6. Step 6: Final answer
    x = 11,184.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.