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Finding the Third Proportional to 26,718 and 58,768.50

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Solution

The third proportional to 26,718 and 58,768.50 is: 129,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,718 : 58,768.50 = 58,768.50 : x
  2. Step 2: Convert to fraction form
    26,718/58,768.50 = 58,768.50/x
  3. Step 3: Cross multiply
    26,718x = 58,768.50 × 58,768.50
  4. Step 4: Simplify right side
    26,718x = 3,453,736,592.25
  5. Step 5: Solve for x
    x = 3,453,736,592.25/26,718
  6. Step 6: Final answer
    x = 129,266.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.