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Finding the Third Proportional to 1,821.23 and 3,615.89

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Solution

The third proportional to 1,821.23 and 3,615.89 is: 7,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.23 : 3,615.89 = 3,615.89 : x
  2. Step 2: Convert to fraction form
    1,821.23/3,615.89 = 3,615.89/x
  3. Step 3: Cross multiply
    1,821.23x = 3,615.89 × 3,615.89
  4. Step 4: Simplify right side
    1,821.23x = 13,074,665.01
  5. Step 5: Solve for x
    x = 13,074,665.01/1,821.23
  6. Step 6: Final answer
    x = 7,179.01

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.