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Finding the Third Proportional to 13,564 and 27,858

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Solution

The third proportional to 13,564 and 27,858 is: 57,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564 : 27,858 = 27,858 : x
  2. Step 2: Convert to fraction form
    13,564/27,858 = 27,858/x
  3. Step 3: Cross multiply
    13,564x = 27,858 × 27,858
  4. Step 4: Simplify right side
    13,564x = 776,068,164
  5. Step 5: Solve for x
    x = 776,068,164/13,564
  6. Step 6: Final answer
    x = 57,215.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.