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Finding the Third Proportional to 11,957.63 and 18,437.63

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Solution

The third proportional to 11,957.63 and 18,437.63 is: 28,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.63 : 18,437.63 = 18,437.63 : x
  2. Step 2: Convert to fraction form
    11,957.63/18,437.63 = 18,437.63/x
  3. Step 3: Cross multiply
    11,957.63x = 18,437.63 × 18,437.63
  4. Step 4: Simplify right side
    11,957.63x = 339,946,015.64
  5. Step 5: Solve for x
    x = 339,946,015.64/11,957.63
  6. Step 6: Final answer
    x = 28,429.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.