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Finding the Third Proportional to 3,784 and 5,712

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Solution

The third proportional to 3,784 and 5,712 is: 8,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,712 = 5,712 : x
  2. Step 2: Convert to fraction form
    3,784/5,712 = 5,712/x
  3. Step 3: Cross multiply
    3,784x = 5,712 × 5,712
  4. Step 4: Simplify right side
    3,784x = 32,626,944
  5. Step 5: Solve for x
    x = 32,626,944/3,784
  6. Step 6: Final answer
    x = 8,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.