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Finding the Third Proportional to 824.71 and 1,683.12

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Solution

The third proportional to 824.71 and 1,683.12 is: 3,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.71 : 1,683.12 = 1,683.12 : x
  2. Step 2: Convert to fraction form
    824.71/1,683.12 = 1,683.12/x
  3. Step 3: Cross multiply
    824.71x = 1,683.12 × 1,683.12
  4. Step 4: Simplify right side
    824.71x = 2,832,903.19
  5. Step 5: Solve for x
    x = 2,832,903.19/824.71
  6. Step 6: Final answer
    x = 3,435.02

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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.