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Finding the Third Proportional to 3,564 and 5,326

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Solution

The third proportional to 3,564 and 5,326 is: 7,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,326 = 5,326 : x
  2. Step 2: Convert to fraction form
    3,564/5,326 = 5,326/x
  3. Step 3: Cross multiply
    3,564x = 5,326 × 5,326
  4. Step 4: Simplify right side
    3,564x = 28,366,276
  5. Step 5: Solve for x
    x = 28,366,276/3,564
  6. Step 6: Final answer
    x = 7,959.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.