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Finding the Third Proportional to 1,740.66 and 3,828.09

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Solution

The third proportional to 1,740.66 and 3,828.09 is: 8,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.66 : 3,828.09 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    1,740.66/3,828.09 = 3,828.09/x
  3. Step 3: Cross multiply
    1,740.66x = 3,828.09 × 3,828.09
  4. Step 4: Simplify right side
    1,740.66x = 14,654,301.76
  5. Step 5: Solve for x
    x = 14,654,301.76/1,740.66
  6. Step 6: Final answer
    x = 8,418.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.