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Finding the Third Proportional to 16,307.44 and 35,313.19

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Solution

The third proportional to 16,307.44 and 35,313.19 is: 76,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.44 : 35,313.19 = 35,313.19 : x
  2. Step 2: Convert to fraction form
    16,307.44/35,313.19 = 35,313.19/x
  3. Step 3: Cross multiply
    16,307.44x = 35,313.19 × 35,313.19
  4. Step 4: Simplify right side
    16,307.44x = 1,247,021,211.41
  5. Step 5: Solve for x
    x = 1,247,021,211.41/16,307.44
  6. Step 6: Final answer
    x = 76,469.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.