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Finding the Third Proportional to 12,131 and 18,415.50

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Solution

The third proportional to 12,131 and 18,415.50 is: 27,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131 : 18,415.50 = 18,415.50 : x
  2. Step 2: Convert to fraction form
    12,131/18,415.50 = 18,415.50/x
  3. Step 3: Cross multiply
    12,131x = 18,415.50 × 18,415.50
  4. Step 4: Simplify right side
    12,131x = 339,130,640.25
  5. Step 5: Solve for x
    x = 339,130,640.25/12,131
  6. Step 6: Final answer
    x = 27,955.70

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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.