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Finding the Third Proportional to 26,983 and 55,036.50

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Solution

The third proportional to 26,983 and 55,036.50 is: 112,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,983 : 55,036.50 = 55,036.50 : x
  2. Step 2: Convert to fraction form
    26,983/55,036.50 = 55,036.50/x
  3. Step 3: Cross multiply
    26,983x = 55,036.50 × 55,036.50
  4. Step 4: Simplify right side
    26,983x = 3,029,016,332.25
  5. Step 5: Solve for x
    x = 3,029,016,332.25/26,983
  6. Step 6: Final answer
    x = 112,256.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.