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Finding the Third Proportional to 3,612.50 and 7,763.88

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Solution

The third proportional to 3,612.50 and 7,763.88 is: 16,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.50 : 7,763.88 = 7,763.88 : x
  2. Step 2: Convert to fraction form
    3,612.50/7,763.88 = 7,763.88/x
  3. Step 3: Cross multiply
    3,612.50x = 7,763.88 × 7,763.88
  4. Step 4: Simplify right side
    3,612.50x = 60,277,755.02
  5. Step 5: Solve for x
    x = 60,277,755.02/3,612.50
  6. Step 6: Final answer
    x = 16,685.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.