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Finding the Third Proportional to 1,829.67 and 3,240.84

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Solution

The third proportional to 1,829.67 and 3,240.84 is: 5,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.67 : 3,240.84 = 3,240.84 : x
  2. Step 2: Convert to fraction form
    1,829.67/3,240.84 = 3,240.84/x
  3. Step 3: Cross multiply
    1,829.67x = 3,240.84 × 3,240.84
  4. Step 4: Simplify right side
    1,829.67x = 10,503,068.21
  5. Step 5: Solve for x
    x = 10,503,068.21/1,829.67
  6. Step 6: Final answer
    x = 5,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.