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Finding the Third Proportional to 1,401.25 and 2,129.25

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Solution

The third proportional to 1,401.25 and 2,129.25 is: 3,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.25 : 2,129.25 = 2,129.25 : x
  2. Step 2: Convert to fraction form
    1,401.25/2,129.25 = 2,129.25/x
  3. Step 3: Cross multiply
    1,401.25x = 2,129.25 × 2,129.25
  4. Step 4: Simplify right side
    1,401.25x = 4,533,705.56
  5. Step 5: Solve for x
    x = 4,533,705.56/1,401.25
  6. Step 6: Final answer
    x = 3,235.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.