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Finding the Third Proportional to 2,976 and 3,776

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Solution

The third proportional to 2,976 and 3,776 is: 4,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 3,776 = 3,776 : x
  2. Step 2: Convert to fraction form
    2,976/3,776 = 3,776/x
  3. Step 3: Cross multiply
    2,976x = 3,776 × 3,776
  4. Step 4: Simplify right side
    2,976x = 14,258,176
  5. Step 5: Solve for x
    x = 14,258,176/2,976
  6. Step 6: Final answer
    x = 4,791.05

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.