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Finding the Third Proportional to 1,102.94 and 2,365.75

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Solution

The third proportional to 1,102.94 and 2,365.75 is: 5,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.94 : 2,365.75 = 2,365.75 : x
  2. Step 2: Convert to fraction form
    1,102.94/2,365.75 = 2,365.75/x
  3. Step 3: Cross multiply
    1,102.94x = 2,365.75 × 2,365.75
  4. Step 4: Simplify right side
    1,102.94x = 5,596,773.06
  5. Step 5: Solve for x
    x = 5,596,773.06/1,102.94
  6. Step 6: Final answer
    x = 5,074.42

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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.