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Finding the Third Proportional to 1,682.44 and 3,688.03

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Solution

The third proportional to 1,682.44 and 3,688.03 is: 8,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.44 : 3,688.03 = 3,688.03 : x
  2. Step 2: Convert to fraction form
    1,682.44/3,688.03 = 3,688.03/x
  3. Step 3: Cross multiply
    1,682.44x = 3,688.03 × 3,688.03
  4. Step 4: Simplify right side
    1,682.44x = 13,601,574.50
  5. Step 5: Solve for x
    x = 13,601,574.50/1,682.44
  6. Step 6: Final answer
    x = 8,084.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.