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Finding the Third Proportional to 11,957.63 and 25,988.06

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Solution

The third proportional to 11,957.63 and 25,988.06 is: 56,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.63 : 25,988.06 = 25,988.06 : x
  2. Step 2: Convert to fraction form
    11,957.63/25,988.06 = 25,988.06/x
  3. Step 3: Cross multiply
    11,957.63x = 25,988.06 × 25,988.06
  4. Step 4: Simplify right side
    11,957.63x = 675,379,392.50
  5. Step 5: Solve for x
    x = 675,379,392.50/11,957.63
  6. Step 6: Final answer
    x = 56,481.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.