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Finding the Third Proportional to 25,889.63 and 39,224.25

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Solution

The third proportional to 25,889.63 and 39,224.25 is: 59,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.63 : 39,224.25 = 39,224.25 : x
  2. Step 2: Convert to fraction form
    25,889.63/39,224.25 = 39,224.25/x
  3. Step 3: Cross multiply
    25,889.63x = 39,224.25 × 39,224.25
  4. Step 4: Simplify right side
    25,889.63x = 1,538,541,788.06
  5. Step 5: Solve for x
    x = 1,538,541,788.06/25,889.63
  6. Step 6: Final answer
    x = 59,426.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.