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Finding the Third Proportional to 771.50 and 1,682.50

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Solution

The third proportional to 771.50 and 1,682.50 is: 3,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,682.50 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    771.50/1,682.50 = 1,682.50/x
  3. Step 3: Cross multiply
    771.50x = 1,682.50 × 1,682.50
  4. Step 4: Simplify right side
    771.50x = 2,830,806.25
  5. Step 5: Solve for x
    x = 2,830,806.25/771.50
  6. Step 6: Final answer
    x = 3,669.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.