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Finding the Third Proportional to 10,803.50 and 14,519

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Solution

The third proportional to 10,803.50 and 14,519 is: 19,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.50 : 14,519 = 14,519 : x
  2. Step 2: Convert to fraction form
    10,803.50/14,519 = 14,519/x
  3. Step 3: Cross multiply
    10,803.50x = 14,519 × 14,519
  4. Step 4: Simplify right side
    10,803.50x = 210,801,361
  5. Step 5: Solve for x
    x = 210,801,361/10,803.50
  6. Step 6: Final answer
    x = 19,512.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.