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Finding the Third Proportional to 2,900.97 and 4,357.86

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Solution

The third proportional to 2,900.97 and 4,357.86 is: 6,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.97 : 4,357.86 = 4,357.86 : x
  2. Step 2: Convert to fraction form
    2,900.97/4,357.86 = 4,357.86/x
  3. Step 3: Cross multiply
    2,900.97x = 4,357.86 × 4,357.86
  4. Step 4: Simplify right side
    2,900.97x = 18,990,972.38
  5. Step 5: Solve for x
    x = 18,990,972.38/2,900.97
  6. Step 6: Final answer
    x = 6,546.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.