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Finding the Third Proportional to 1,673.50 and 2,505.50

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Solution

The third proportional to 1,673.50 and 2,505.50 is: 3,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.50 : 2,505.50 = 2,505.50 : x
  2. Step 2: Convert to fraction form
    1,673.50/2,505.50 = 2,505.50/x
  3. Step 3: Cross multiply
    1,673.50x = 2,505.50 × 2,505.50
  4. Step 4: Simplify right side
    1,673.50x = 6,277,530.25
  5. Step 5: Solve for x
    x = 6,277,530.25/1,673.50
  6. Step 6: Final answer
    x = 3,751.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.