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Finding the Third Proportional to 2,101.57 and 3,225.68

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Solution

The third proportional to 2,101.57 and 3,225.68 is: 4,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 3,225.68 = 3,225.68 : x
  2. Step 2: Convert to fraction form
    2,101.57/3,225.68 = 3,225.68/x
  3. Step 3: Cross multiply
    2,101.57x = 3,225.68 × 3,225.68
  4. Step 4: Simplify right side
    2,101.57x = 10,405,028.35
  5. Step 5: Solve for x
    x = 10,405,028.35/2,101.57
  6. Step 6: Final answer
    x = 4,951.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.