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Finding the Third Proportional to 7,760.45 and 16,445.35

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Solution

The third proportional to 7,760.45 and 16,445.35 is: 34,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.45 : 16,445.35 = 16,445.35 : x
  2. Step 2: Convert to fraction form
    7,760.45/16,445.35 = 16,445.35/x
  3. Step 3: Cross multiply
    7,760.45x = 16,445.35 × 16,445.35
  4. Step 4: Simplify right side
    7,760.45x = 270,449,481.62
  5. Step 5: Solve for x
    x = 270,449,481.62/7,760.45
  6. Step 6: Final answer
    x = 34,849.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.