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Finding the Third Proportional to 2,298.97 and 3,237.38

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Solution

The third proportional to 2,298.97 and 3,237.38 is: 4,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.97 : 3,237.38 = 3,237.38 : x
  2. Step 2: Convert to fraction form
    2,298.97/3,237.38 = 3,237.38/x
  3. Step 3: Cross multiply
    2,298.97x = 3,237.38 × 3,237.38
  4. Step 4: Simplify right side
    2,298.97x = 10,480,596.89
  5. Step 5: Solve for x
    x = 10,480,596.89/2,298.97
  6. Step 6: Final answer
    x = 4,558.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.