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Finding the Third Proportional to 914.50 and 2,003.25

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Solution

The third proportional to 914.50 and 2,003.25 is: 4,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.50 : 2,003.25 = 2,003.25 : x
  2. Step 2: Convert to fraction form
    914.50/2,003.25 = 2,003.25/x
  3. Step 3: Cross multiply
    914.50x = 2,003.25 × 2,003.25
  4. Step 4: Simplify right side
    914.50x = 4,013,010.56
  5. Step 5: Solve for x
    x = 4,013,010.56/914.50
  6. Step 6: Final answer
    x = 4,388.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.