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Finding the Third Proportional to 1,193.48 and 1,735.17

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Solution

The third proportional to 1,193.48 and 1,735.17 is: 2,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.48 : 1,735.17 = 1,735.17 : x
  2. Step 2: Convert to fraction form
    1,193.48/1,735.17 = 1,735.17/x
  3. Step 3: Cross multiply
    1,193.48x = 1,735.17 × 1,735.17
  4. Step 4: Simplify right side
    1,193.48x = 3,010,821.44
  5. Step 5: Solve for x
    x = 3,010,821.44/1,193.48
  6. Step 6: Final answer
    x = 2,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.