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Finding the Third Proportional to 26,343 and 55,786.50

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Solution

The third proportional to 26,343 and 55,786.50 is: 118,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,343 : 55,786.50 = 55,786.50 : x
  2. Step 2: Convert to fraction form
    26,343/55,786.50 = 55,786.50/x
  3. Step 3: Cross multiply
    26,343x = 55,786.50 × 55,786.50
  4. Step 4: Simplify right side
    26,343x = 3,112,133,582.25
  5. Step 5: Solve for x
    x = 3,112,133,582.25/26,343
  6. Step 6: Final answer
    x = 118,138.92

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