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Finding the Third Proportional to 681.19 and 1,639.69

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Solution

The third proportional to 681.19 and 1,639.69 is: 3,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.19 : 1,639.69 = 1,639.69 : x
  2. Step 2: Convert to fraction form
    681.19/1,639.69 = 1,639.69/x
  3. Step 3: Cross multiply
    681.19x = 1,639.69 × 1,639.69
  4. Step 4: Simplify right side
    681.19x = 2,688,575.10
  5. Step 5: Solve for x
    x = 2,688,575.10/681.19
  6. Step 6: Final answer
    x = 3,946.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.