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Finding the Third Proportional to 1,155.94 and 1,630.97

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Solution

The third proportional to 1,155.94 and 1,630.97 is: 2,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.94 : 1,630.97 = 1,630.97 : x
  2. Step 2: Convert to fraction form
    1,155.94/1,630.97 = 1,630.97/x
  3. Step 3: Cross multiply
    1,155.94x = 1,630.97 × 1,630.97
  4. Step 4: Simplify right side
    1,155.94x = 2,660,059.06
  5. Step 5: Solve for x
    x = 2,660,059.06/1,155.94
  6. Step 6: Final answer
    x = 2,301.21

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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.