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Finding the Third Proportional to 1,324 and 3,258

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Solution

The third proportional to 1,324 and 3,258 is: 8,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324 : 3,258 = 3,258 : x
  2. Step 2: Convert to fraction form
    1,324/3,258 = 3,258/x
  3. Step 3: Cross multiply
    1,324x = 3,258 × 3,258
  4. Step 4: Simplify right side
    1,324x = 10,614,564
  5. Step 5: Solve for x
    x = 10,614,564/1,324
  6. Step 6: Final answer
    x = 8,017.04

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.