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Finding the Third Proportional to 26,133.25 and 56,458

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Solution

The third proportional to 26,133.25 and 56,458 is: 121,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,133.25 : 56,458 = 56,458 : x
  2. Step 2: Convert to fraction form
    26,133.25/56,458 = 56,458/x
  3. Step 3: Cross multiply
    26,133.25x = 56,458 × 56,458
  4. Step 4: Simplify right side
    26,133.25x = 3,187,505,764
  5. Step 5: Solve for x
    x = 3,187,505,764/26,133.25
  6. Step 6: Final answer
    x = 121,971.27

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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.