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Finding the Third Proportional to 1,703.75 and 2,677.25

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Solution

The third proportional to 1,703.75 and 2,677.25 is: 4,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.75 : 2,677.25 = 2,677.25 : x
  2. Step 2: Convert to fraction form
    1,703.75/2,677.25 = 2,677.25/x
  3. Step 3: Cross multiply
    1,703.75x = 2,677.25 × 2,677.25
  4. Step 4: Simplify right side
    1,703.75x = 7,167,667.56
  5. Step 5: Solve for x
    x = 7,167,667.56/1,703.75
  6. Step 6: Final answer
    x = 4,206.99

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