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Finding the Third Proportional to 27,966 and 53,106

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Solution

The third proportional to 27,966 and 53,106 is: 100,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966 : 53,106 = 53,106 : x
  2. Step 2: Convert to fraction form
    27,966/53,106 = 53,106/x
  3. Step 3: Cross multiply
    27,966x = 53,106 × 53,106
  4. Step 4: Simplify right side
    27,966x = 2,820,247,236
  5. Step 5: Solve for x
    x = 2,820,247,236/27,966
  6. Step 6: Final answer
    x = 100,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.