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Finding the Third Proportional to 1,757.95 and 2,805.89

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Solution

The third proportional to 1,757.95 and 2,805.89 is: 4,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.95 : 2,805.89 = 2,805.89 : x
  2. Step 2: Convert to fraction form
    1,757.95/2,805.89 = 2,805.89/x
  3. Step 3: Cross multiply
    1,757.95x = 2,805.89 × 2,805.89
  4. Step 4: Simplify right side
    1,757.95x = 7,873,022.20
  5. Step 5: Solve for x
    x = 7,873,022.20/1,757.95
  6. Step 6: Final answer
    x = 4,478.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.