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Finding the Third Proportional to 6,200.30 and 13,564.97

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Solution

The third proportional to 6,200.30 and 13,564.97 is: 29,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.30 : 13,564.97 = 13,564.97 : x
  2. Step 2: Convert to fraction form
    6,200.30/13,564.97 = 13,564.97/x
  3. Step 3: Cross multiply
    6,200.30x = 13,564.97 × 13,564.97
  4. Step 4: Simplify right side
    6,200.30x = 184,008,377.19
  5. Step 5: Solve for x
    x = 184,008,377.19/6,200.30
  6. Step 6: Final answer
    x = 29,677.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.