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Finding the Third Proportional to 2,195.02 and 3,365.72

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Solution

The third proportional to 2,195.02 and 3,365.72 is: 5,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.02 : 3,365.72 = 3,365.72 : x
  2. Step 2: Convert to fraction form
    2,195.02/3,365.72 = 3,365.72/x
  3. Step 3: Cross multiply
    2,195.02x = 3,365.72 × 3,365.72
  4. Step 4: Simplify right side
    2,195.02x = 11,328,062.70
  5. Step 5: Solve for x
    x = 11,328,062.70/2,195.02
  6. Step 6: Final answer
    x = 5,160.81

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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.