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Finding the Third Proportional to 1,658.81 and 3,628.97

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Solution

The third proportional to 1,658.81 and 3,628.97 is: 7,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.81 : 3,628.97 = 3,628.97 : x
  2. Step 2: Convert to fraction form
    1,658.81/3,628.97 = 3,628.97/x
  3. Step 3: Cross multiply
    1,658.81x = 3,628.97 × 3,628.97
  4. Step 4: Simplify right side
    1,658.81x = 13,169,414.19
  5. Step 5: Solve for x
    x = 13,169,414.19/1,658.81
  6. Step 6: Final answer
    x = 7,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.