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Finding the Third Proportional to 1,155 and 2,847

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Solution

The third proportional to 1,155 and 2,847 is: 7,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155 : 2,847 = 2,847 : x
  2. Step 2: Convert to fraction form
    1,155/2,847 = 2,847/x
  3. Step 3: Cross multiply
    1,155x = 2,847 × 2,847
  4. Step 4: Simplify right side
    1,155x = 8,105,409
  5. Step 5: Solve for x
    x = 8,105,409/1,155
  6. Step 6: Final answer
    x = 7,017.67

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.