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Finding the Third Proportional to 2,155 and 4,797.25

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Solution

The third proportional to 2,155 and 4,797.25 is: 10,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155 : 4,797.25 = 4,797.25 : x
  2. Step 2: Convert to fraction form
    2,155/4,797.25 = 4,797.25/x
  3. Step 3: Cross multiply
    2,155x = 4,797.25 × 4,797.25
  4. Step 4: Simplify right side
    2,155x = 23,013,607.56
  5. Step 5: Solve for x
    x = 23,013,607.56/2,155
  6. Step 6: Final answer
    x = 10,679.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.