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Finding the Third Proportional to 673.25 and 1,373.50

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Solution

The third proportional to 673.25 and 1,373.50 is: 2,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 1,373.50 = 1,373.50 : x
  2. Step 2: Convert to fraction form
    673.25/1,373.50 = 1,373.50/x
  3. Step 3: Cross multiply
    673.25x = 1,373.50 × 1,373.50
  4. Step 4: Simplify right side
    673.25x = 1,886,502.25
  5. Step 5: Solve for x
    x = 1,886,502.25/673.25
  6. Step 6: Final answer
    x = 2,802.08

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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.