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Finding the Third Proportional to 1,821.66 and 3,430.69

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Solution

The third proportional to 1,821.66 and 3,430.69 is: 6,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.66 : 3,430.69 = 3,430.69 : x
  2. Step 2: Convert to fraction form
    1,821.66/3,430.69 = 3,430.69/x
  3. Step 3: Cross multiply
    1,821.66x = 3,430.69 × 3,430.69
  4. Step 4: Simplify right side
    1,821.66x = 11,769,616.72
  5. Step 5: Solve for x
    x = 11,769,616.72/1,821.66
  6. Step 6: Final answer
    x = 6,460.94

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.