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Finding the Third Proportional to 6,223.99 and 13,485.45

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Solution

The third proportional to 6,223.99 and 13,485.45 is: 29,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.99 : 13,485.45 = 13,485.45 : x
  2. Step 2: Convert to fraction form
    6,223.99/13,485.45 = 13,485.45/x
  3. Step 3: Cross multiply
    6,223.99x = 13,485.45 × 13,485.45
  4. Step 4: Simplify right side
    6,223.99x = 181,857,235.28
  5. Step 5: Solve for x
    x = 181,857,235.28/6,223.99
  6. Step 6: Final answer
    x = 29,218.74

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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.