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Finding the Third Proportional to 1,606.81 and 3,258.38

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Solution

The third proportional to 1,606.81 and 3,258.38 is: 6,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.81 : 3,258.38 = 3,258.38 : x
  2. Step 2: Convert to fraction form
    1,606.81/3,258.38 = 3,258.38/x
  3. Step 3: Cross multiply
    1,606.81x = 3,258.38 × 3,258.38
  4. Step 4: Simplify right side
    1,606.81x = 10,617,007.64
  5. Step 5: Solve for x
    x = 10,617,007.64/1,606.81
  6. Step 6: Final answer
    x = 6,607.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.