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Finding the Third Proportional to 8,680.50 and 18,472.50

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Solution

The third proportional to 8,680.50 and 18,472.50 is: 39,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.50 : 18,472.50 = 18,472.50 : x
  2. Step 2: Convert to fraction form
    8,680.50/18,472.50 = 18,472.50/x
  3. Step 3: Cross multiply
    8,680.50x = 18,472.50 × 18,472.50
  4. Step 4: Simplify right side
    8,680.50x = 341,233,256.25
  5. Step 5: Solve for x
    x = 341,233,256.25/8,680.50
  6. Step 6: Final answer
    x = 39,310.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.