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Finding the Third Proportional to 2,832 and 3,776

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Solution

The third proportional to 2,832 and 3,776 is: 5,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832 : 3,776 = 3,776 : x
  2. Step 2: Convert to fraction form
    2,832/3,776 = 3,776/x
  3. Step 3: Cross multiply
    2,832x = 3,776 × 3,776
  4. Step 4: Simplify right side
    2,832x = 14,258,176
  5. Step 5: Solve for x
    x = 14,258,176/2,832
  6. Step 6: Final answer
    x = 5,034.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.