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Finding the Third Proportional to 15,896.25 and 23,837.63

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Solution

The third proportional to 15,896.25 and 23,837.63 is: 35,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.25 : 23,837.63 = 23,837.63 : x
  2. Step 2: Convert to fraction form
    15,896.25/23,837.63 = 23,837.63/x
  3. Step 3: Cross multiply
    15,896.25x = 23,837.63 × 23,837.63
  4. Step 4: Simplify right side
    15,896.25x = 568,232,365.64
  5. Step 5: Solve for x
    x = 568,232,365.64/15,896.25
  6. Step 6: Final answer
    x = 35,746.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.