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Finding the Third Proportional to 3,564 and 5,276

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Solution

The third proportional to 3,564 and 5,276 is: 7,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,276 = 5,276 : x
  2. Step 2: Convert to fraction form
    3,564/5,276 = 5,276/x
  3. Step 3: Cross multiply
    3,564x = 5,276 × 5,276
  4. Step 4: Simplify right side
    3,564x = 27,836,176
  5. Step 5: Solve for x
    x = 27,836,176/3,564
  6. Step 6: Final answer
    x = 7,810.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.