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Finding the Third Proportional to 23,233.50 and 26,851.50

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Solution

The third proportional to 23,233.50 and 26,851.50 is: 31,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.50 : 26,851.50 = 26,851.50 : x
  2. Step 2: Convert to fraction form
    23,233.50/26,851.50 = 26,851.50/x
  3. Step 3: Cross multiply
    23,233.50x = 26,851.50 × 26,851.50
  4. Step 4: Simplify right side
    23,233.50x = 721,003,052.25
  5. Step 5: Solve for x
    x = 721,003,052.25/23,233.50
  6. Step 6: Final answer
    x = 31,032.91

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.