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Finding the Third Proportional to 26,496 and 56,059.31

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Solution

The third proportional to 26,496 and 56,059.31 is: 118,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 56,059.31 = 56,059.31 : x
  2. Step 2: Convert to fraction form
    26,496/56,059.31 = 56,059.31/x
  3. Step 3: Cross multiply
    26,496x = 56,059.31 × 56,059.31
  4. Step 4: Simplify right side
    26,496x = 3,142,646,517.97
  5. Step 5: Solve for x
    x = 3,142,646,517.97/26,496
  6. Step 6: Final answer
    x = 118,608.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.