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Finding the Third Proportional to 4,492.13 and 7,249.50

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Solution

The third proportional to 4,492.13 and 7,249.50 is: 11,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.13 : 7,249.50 = 7,249.50 : x
  2. Step 2: Convert to fraction form
    4,492.13/7,249.50 = 7,249.50/x
  3. Step 3: Cross multiply
    4,492.13x = 7,249.50 × 7,249.50
  4. Step 4: Simplify right side
    4,492.13x = 52,555,250.25
  5. Step 5: Solve for x
    x = 52,555,250.25/4,492.13
  6. Step 6: Final answer
    x = 11,699.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.