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Finding the Third Proportional to 2,923.75 and 6,462.75

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Solution

The third proportional to 2,923.75 and 6,462.75 is: 14,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.75 : 6,462.75 = 6,462.75 : x
  2. Step 2: Convert to fraction form
    2,923.75/6,462.75 = 6,462.75/x
  3. Step 3: Cross multiply
    2,923.75x = 6,462.75 × 6,462.75
  4. Step 4: Simplify right side
    2,923.75x = 41,767,137.56
  5. Step 5: Solve for x
    x = 41,767,137.56/2,923.75
  6. Step 6: Final answer
    x = 14,285.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.