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Finding the Third Proportional to 27,960 and 54,509.25

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Solution

The third proportional to 27,960 and 54,509.25 is: 106,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960 : 54,509.25 = 54,509.25 : x
  2. Step 2: Convert to fraction form
    27,960/54,509.25 = 54,509.25/x
  3. Step 3: Cross multiply
    27,960x = 54,509.25 × 54,509.25
  4. Step 4: Simplify right side
    27,960x = 2,971,258,335.56
  5. Step 5: Solve for x
    x = 2,971,258,335.56/27,960
  6. Step 6: Final answer
    x = 106,268.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.