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Finding the Third Proportional to 2,246.63 and 3,849.75

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Solution

The third proportional to 2,246.63 and 3,849.75 is: 6,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.63 : 3,849.75 = 3,849.75 : x
  2. Step 2: Convert to fraction form
    2,246.63/3,849.75 = 3,849.75/x
  3. Step 3: Cross multiply
    2,246.63x = 3,849.75 × 3,849.75
  4. Step 4: Simplify right side
    2,246.63x = 14,820,575.06
  5. Step 5: Solve for x
    x = 14,820,575.06/2,246.63
  6. Step 6: Final answer
    x = 6,596.82

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.