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Finding the Third Proportional to 11,062.50 and 23,886

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Solution

The third proportional to 11,062.50 and 23,886 is: 51,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,062.50 : 23,886 = 23,886 : x
  2. Step 2: Convert to fraction form
    11,062.50/23,886 = 23,886/x
  3. Step 3: Cross multiply
    11,062.50x = 23,886 × 23,886
  4. Step 4: Simplify right side
    11,062.50x = 570,540,996
  5. Step 5: Solve for x
    x = 570,540,996/11,062.50
  6. Step 6: Final answer
    x = 51,574.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.