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Finding the Third Proportional to 1,658.50 and 2,324.75

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Solution

The third proportional to 1,658.50 and 2,324.75 is: 3,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.50 : 2,324.75 = 2,324.75 : x
  2. Step 2: Convert to fraction form
    1,658.50/2,324.75 = 2,324.75/x
  3. Step 3: Cross multiply
    1,658.50x = 2,324.75 × 2,324.75
  4. Step 4: Simplify right side
    1,658.50x = 5,404,462.56
  5. Step 5: Solve for x
    x = 5,404,462.56/1,658.50
  6. Step 6: Final answer
    x = 3,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.