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Finding the Third Proportional to 2,053 and 3,847

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Solution

The third proportional to 2,053 and 3,847 is: 7,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053 : 3,847 = 3,847 : x
  2. Step 2: Convert to fraction form
    2,053/3,847 = 3,847/x
  3. Step 3: Cross multiply
    2,053x = 3,847 × 3,847
  4. Step 4: Simplify right side
    2,053x = 14,799,409
  5. Step 5: Solve for x
    x = 14,799,409/2,053
  6. Step 6: Final answer
    x = 7,208.67

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.