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Finding the Third Proportional to 6,501.20 and 13,924.09

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Solution

The third proportional to 6,501.20 and 13,924.09 is: 29,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.20 : 13,924.09 = 13,924.09 : x
  2. Step 2: Convert to fraction form
    6,501.20/13,924.09 = 13,924.09/x
  3. Step 3: Cross multiply
    6,501.20x = 13,924.09 × 13,924.09
  4. Step 4: Simplify right side
    6,501.20x = 193,880,277.98
  5. Step 5: Solve for x
    x = 193,880,277.98/6,501.20
  6. Step 6: Final answer
    x = 29,822.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.