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Finding the Third Proportional to 4,655.81 and 7,819.03

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Solution

The third proportional to 4,655.81 and 7,819.03 is: 13,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.81 : 7,819.03 = 7,819.03 : x
  2. Step 2: Convert to fraction form
    4,655.81/7,819.03 = 7,819.03/x
  3. Step 3: Cross multiply
    4,655.81x = 7,819.03 × 7,819.03
  4. Step 4: Simplify right side
    4,655.81x = 61,137,249.69
  5. Step 5: Solve for x
    x = 61,137,249.69/4,655.81
  6. Step 6: Final answer
    x = 13,131.38

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.