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Finding the Third Proportional to 1,701.84 and 3,466.13

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Solution

The third proportional to 1,701.84 and 3,466.13 is: 7,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 3,466.13 = 3,466.13 : x
  2. Step 2: Convert to fraction form
    1,701.84/3,466.13 = 3,466.13/x
  3. Step 3: Cross multiply
    1,701.84x = 3,466.13 × 3,466.13
  4. Step 4: Simplify right side
    1,701.84x = 12,014,022.52
  5. Step 5: Solve for x
    x = 12,014,022.52/1,701.84
  6. Step 6: Final answer
    x = 7,059.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.