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Finding the Third Proportional to 2,263.78 and 2,646.28

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Solution

The third proportional to 2,263.78 and 2,646.28 is: 3,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.78 : 2,646.28 = 2,646.28 : x
  2. Step 2: Convert to fraction form
    2,263.78/2,646.28 = 2,646.28/x
  3. Step 3: Cross multiply
    2,263.78x = 2,646.28 × 2,646.28
  4. Step 4: Simplify right side
    2,263.78x = 7,002,804.45
  5. Step 5: Solve for x
    x = 7,002,804.45/2,263.78
  6. Step 6: Final answer
    x = 3,093.41

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.