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Finding the Third Proportional to 13,474.50 and 18,126.75

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Solution

The third proportional to 13,474.50 and 18,126.75 is: 24,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.50 : 18,126.75 = 18,126.75 : x
  2. Step 2: Convert to fraction form
    13,474.50/18,126.75 = 18,126.75/x
  3. Step 3: Cross multiply
    13,474.50x = 18,126.75 × 18,126.75
  4. Step 4: Simplify right side
    13,474.50x = 328,579,065.56
  5. Step 5: Solve for x
    x = 328,579,065.56/13,474.50
  6. Step 6: Final answer
    x = 24,385.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.