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Finding the Third Proportional to 1,077.26 and 2,356.38

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Solution

The third proportional to 1,077.26 and 2,356.38 is: 5,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.26 : 2,356.38 = 2,356.38 : x
  2. Step 2: Convert to fraction form
    1,077.26/2,356.38 = 2,356.38/x
  3. Step 3: Cross multiply
    1,077.26x = 2,356.38 × 2,356.38
  4. Step 4: Simplify right side
    1,077.26x = 5,552,539.96
  5. Step 5: Solve for x
    x = 5,552,539.96/1,077.26
  6. Step 6: Final answer
    x = 5,154.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.