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Finding the Third Proportional to 11,948.50 and 26,980.50

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Solution

The third proportional to 11,948.50 and 26,980.50 is: 60,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.50 : 26,980.50 = 26,980.50 : x
  2. Step 2: Convert to fraction form
    11,948.50/26,980.50 = 26,980.50/x
  3. Step 3: Cross multiply
    11,948.50x = 26,980.50 × 26,980.50
  4. Step 4: Simplify right side
    11,948.50x = 727,947,380.25
  5. Step 5: Solve for x
    x = 727,947,380.25/11,948.50
  6. Step 6: Final answer
    x = 60,923.75

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.