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Finding the Third Proportional to 3,595.88 and 7,768.88

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Solution

The third proportional to 3,595.88 and 7,768.88 is: 16,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.88 : 7,768.88 = 7,768.88 : x
  2. Step 2: Convert to fraction form
    3,595.88/7,768.88 = 7,768.88/x
  3. Step 3: Cross multiply
    3,595.88x = 7,768.88 × 7,768.88
  4. Step 4: Simplify right side
    3,595.88x = 60,355,418.77
  5. Step 5: Solve for x
    x = 60,355,418.77/3,595.88
  6. Step 6: Final answer
    x = 16,784.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.