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Finding the Third Proportional to 1,923 and 2,977.50

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Solution

The third proportional to 1,923 and 2,977.50 is: 4,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923 : 2,977.50 = 2,977.50 : x
  2. Step 2: Convert to fraction form
    1,923/2,977.50 = 2,977.50/x
  3. Step 3: Cross multiply
    1,923x = 2,977.50 × 2,977.50
  4. Step 4: Simplify right side
    1,923x = 8,865,506.25
  5. Step 5: Solve for x
    x = 8,865,506.25/1,923
  6. Step 6: Final answer
    x = 4,610.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.