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Finding the Third Proportional to 2,941 and 4,412.50

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Solution

The third proportional to 2,941 and 4,412.50 is: 6,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941 : 4,412.50 = 4,412.50 : x
  2. Step 2: Convert to fraction form
    2,941/4,412.50 = 4,412.50/x
  3. Step 3: Cross multiply
    2,941x = 4,412.50 × 4,412.50
  4. Step 4: Simplify right side
    2,941x = 19,470,156.25
  5. Step 5: Solve for x
    x = 19,470,156.25/2,941
  6. Step 6: Final answer
    x = 6,620.25

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.