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Finding the Third Proportional to 1,176.26 and 2,546.34

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Solution

The third proportional to 1,176.26 and 2,546.34 is: 5,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.26 : 2,546.34 = 2,546.34 : x
  2. Step 2: Convert to fraction form
    1,176.26/2,546.34 = 2,546.34/x
  3. Step 3: Cross multiply
    1,176.26x = 2,546.34 × 2,546.34
  4. Step 4: Simplify right side
    1,176.26x = 6,483,840.38
  5. Step 5: Solve for x
    x = 6,483,840.38/1,176.26
  6. Step 6: Final answer
    x = 5,512.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.