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Finding the Third Proportional to 3,598.07 and 7,742.88

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Solution

The third proportional to 3,598.07 and 7,742.88 is: 16,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.07 : 7,742.88 = 7,742.88 : x
  2. Step 2: Convert to fraction form
    3,598.07/7,742.88 = 7,742.88/x
  3. Step 3: Cross multiply
    3,598.07x = 7,742.88 × 7,742.88
  4. Step 4: Simplify right side
    3,598.07x = 59,952,234.25
  5. Step 5: Solve for x
    x = 59,952,234.25/3,598.07
  6. Step 6: Final answer
    x = 16,662.35

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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.