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Finding the Third Proportional to 23,557.50 and 26,905.50

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Solution

The third proportional to 23,557.50 and 26,905.50 is: 30,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.50 : 26,905.50 = 26,905.50 : x
  2. Step 2: Convert to fraction form
    23,557.50/26,905.50 = 26,905.50/x
  3. Step 3: Cross multiply
    23,557.50x = 26,905.50 × 26,905.50
  4. Step 4: Simplify right side
    23,557.50x = 723,905,930.25
  5. Step 5: Solve for x
    x = 723,905,930.25/23,557.50
  6. Step 6: Final answer
    x = 30,729.32

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.