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Finding the Third Proportional to 1,805 and 2,573.50

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Solution

The third proportional to 1,805 and 2,573.50 is: 3,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805 : 2,573.50 = 2,573.50 : x
  2. Step 2: Convert to fraction form
    1,805/2,573.50 = 2,573.50/x
  3. Step 3: Cross multiply
    1,805x = 2,573.50 × 2,573.50
  4. Step 4: Simplify right side
    1,805x = 6,622,902.25
  5. Step 5: Solve for x
    x = 6,622,902.25/1,805
  6. Step 6: Final answer
    x = 3,669.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.