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Finding the Third Proportional to 1,104.75 and 2,363.06

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Solution

The third proportional to 1,104.75 and 2,363.06 is: 5,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.75 : 2,363.06 = 2,363.06 : x
  2. Step 2: Convert to fraction form
    1,104.75/2,363.06 = 2,363.06/x
  3. Step 3: Cross multiply
    1,104.75x = 2,363.06 × 2,363.06
  4. Step 4: Simplify right side
    1,104.75x = 5,584,064.38
  5. Step 5: Solve for x
    x = 5,584,064.38/1,104.75
  6. Step 6: Final answer
    x = 5,054.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.