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Finding the Third Proportional to 5,005.13 and 7,846.03

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Solution

The third proportional to 5,005.13 and 7,846.03 is: 12,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.13 : 7,846.03 = 7,846.03 : x
  2. Step 2: Convert to fraction form
    5,005.13/7,846.03 = 7,846.03/x
  3. Step 3: Cross multiply
    5,005.13x = 7,846.03 × 7,846.03
  4. Step 4: Simplify right side
    5,005.13x = 61,560,206.38
  5. Step 5: Solve for x
    x = 61,560,206.38/5,005.13
  6. Step 6: Final answer
    x = 12,299.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.