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Finding the Third Proportional to 1,683.28 and 3,682.97

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Solution

The third proportional to 1,683.28 and 3,682.97 is: 8,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.28 : 3,682.97 = 3,682.97 : x
  2. Step 2: Convert to fraction form
    1,683.28/3,682.97 = 3,682.97/x
  3. Step 3: Cross multiply
    1,683.28x = 3,682.97 × 3,682.97
  4. Step 4: Simplify right side
    1,683.28x = 13,564,258.81
  5. Step 5: Solve for x
    x = 13,564,258.81/1,683.28
  6. Step 6: Final answer
    x = 8,058.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.