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Finding the Third Proportional to 26,268.23 and 56,688.34

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Solution

The third proportional to 26,268.23 and 56,688.34 is: 122,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,268.23 : 56,688.34 = 56,688.34 : x
  2. Step 2: Convert to fraction form
    26,268.23/56,688.34 = 56,688.34/x
  3. Step 3: Cross multiply
    26,268.23x = 56,688.34 × 56,688.34
  4. Step 4: Simplify right side
    26,268.23x = 3,213,567,604.36
  5. Step 5: Solve for x
    x = 3,213,567,604.36/26,268.23
  6. Step 6: Final answer
    x = 122,336.68

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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.