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Finding the Third Proportional to 1,314.75 and 2,057.63

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Solution

The third proportional to 1,314.75 and 2,057.63 is: 3,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.75 : 2,057.63 = 2,057.63 : x
  2. Step 2: Convert to fraction form
    1,314.75/2,057.63 = 2,057.63/x
  3. Step 3: Cross multiply
    1,314.75x = 2,057.63 × 2,057.63
  4. Step 4: Simplify right side
    1,314.75x = 4,233,820.64
  5. Step 5: Solve for x
    x = 4,233,820.64/1,314.75
  6. Step 6: Final answer
    x = 3,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.