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Finding the Third Proportional to 10,908.63 and 16,680.20

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Solution

The third proportional to 10,908.63 and 16,680.20 is: 25,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.63 : 16,680.20 = 16,680.20 : x
  2. Step 2: Convert to fraction form
    10,908.63/16,680.20 = 16,680.20/x
  3. Step 3: Cross multiply
    10,908.63x = 16,680.20 × 16,680.20
  4. Step 4: Simplify right side
    10,908.63x = 278,229,045.98
  5. Step 5: Solve for x
    x = 278,229,045.98/10,908.63
  6. Step 6: Final answer
    x = 25,505.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.