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Finding the Third Proportional to 26,638.50 and 55,828.50

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Solution

The third proportional to 26,638.50 and 55,828.50 is: 117,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638.50 : 55,828.50 = 55,828.50 : x
  2. Step 2: Convert to fraction form
    26,638.50/55,828.50 = 55,828.50/x
  3. Step 3: Cross multiply
    26,638.50x = 55,828.50 × 55,828.50
  4. Step 4: Simplify right side
    26,638.50x = 3,116,821,412.25
  5. Step 5: Solve for x
    x = 3,116,821,412.25/26,638.50
  6. Step 6: Final answer
    x = 117,004.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.