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Finding the Third Proportional to 1,774.09 and 3,849.08

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Solution

The third proportional to 1,774.09 and 3,849.08 is: 8,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.09 : 3,849.08 = 3,849.08 : x
  2. Step 2: Convert to fraction form
    1,774.09/3,849.08 = 3,849.08/x
  3. Step 3: Cross multiply
    1,774.09x = 3,849.08 × 3,849.08
  4. Step 4: Simplify right side
    1,774.09x = 14,815,432.48
  5. Step 5: Solve for x
    x = 14,815,432.48/1,774.09
  6. Step 6: Final answer
    x = 8,351.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.