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Finding the Third Proportional to 8,440.88 and 12,614.06

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Solution

The third proportional to 8,440.88 and 12,614.06 is: 18,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.88 : 12,614.06 = 12,614.06 : x
  2. Step 2: Convert to fraction form
    8,440.88/12,614.06 = 12,614.06/x
  3. Step 3: Cross multiply
    8,440.88x = 12,614.06 × 12,614.06
  4. Step 4: Simplify right side
    8,440.88x = 159,114,572.75
  5. Step 5: Solve for x
    x = 159,114,572.75/8,440.88
  6. Step 6: Final answer
    x = 18,850.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.