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Finding the Third Proportional to 2,184.75 and 4,050.75

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Solution

The third proportional to 2,184.75 and 4,050.75 is: 7,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.75 : 4,050.75 = 4,050.75 : x
  2. Step 2: Convert to fraction form
    2,184.75/4,050.75 = 4,050.75/x
  3. Step 3: Cross multiply
    2,184.75x = 4,050.75 × 4,050.75
  4. Step 4: Simplify right side
    2,184.75x = 16,408,575.56
  5. Step 5: Solve for x
    x = 16,408,575.56/2,184.75
  6. Step 6: Final answer
    x = 7,510.50

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.