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Finding the Third Proportional to 11,953.50 and 25,090.50

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Solution

The third proportional to 11,953.50 and 25,090.50 is: 52,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.50 : 25,090.50 = 25,090.50 : x
  2. Step 2: Convert to fraction form
    11,953.50/25,090.50 = 25,090.50/x
  3. Step 3: Cross multiply
    11,953.50x = 25,090.50 × 25,090.50
  4. Step 4: Simplify right side
    11,953.50x = 629,533,190.25
  5. Step 5: Solve for x
    x = 629,533,190.25/11,953.50
  6. Step 6: Final answer
    x = 52,665.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.