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Finding the Third Proportional to 27,106 and 41,722

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Solution

The third proportional to 27,106 and 41,722 is: 64,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106 : 41,722 = 41,722 : x
  2. Step 2: Convert to fraction form
    27,106/41,722 = 41,722/x
  3. Step 3: Cross multiply
    27,106x = 41,722 × 41,722
  4. Step 4: Simplify right side
    27,106x = 1,740,725,284
  5. Step 5: Solve for x
    x = 1,740,725,284/27,106
  6. Step 6: Final answer
    x = 64,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.