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Finding the Third Proportional to 1,110.75 and 1,480.13

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Solution

The third proportional to 1,110.75 and 1,480.13 is: 1,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.75 : 1,480.13 = 1,480.13 : x
  2. Step 2: Convert to fraction form
    1,110.75/1,480.13 = 1,480.13/x
  3. Step 3: Cross multiply
    1,110.75x = 1,480.13 × 1,480.13
  4. Step 4: Simplify right side
    1,110.75x = 2,190,770.02
  5. Step 5: Solve for x
    x = 2,190,770.02/1,110.75
  6. Step 6: Final answer
    x = 1,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.