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Finding the Third Proportional to 2,211.47 and 3,315.94

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Solution

The third proportional to 2,211.47 and 3,315.94 is: 4,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.47 : 3,315.94 = 3,315.94 : x
  2. Step 2: Convert to fraction form
    2,211.47/3,315.94 = 3,315.94/x
  3. Step 3: Cross multiply
    2,211.47x = 3,315.94 × 3,315.94
  4. Step 4: Simplify right side
    2,211.47x = 10,995,441.50
  5. Step 5: Solve for x
    x = 10,995,441.50/2,211.47
  6. Step 6: Final answer
    x = 4,972.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.