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Finding the Third Proportional to 13,206.80 and 29,366.30

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Solution

The third proportional to 13,206.80 and 29,366.30 is: 65,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.80 : 29,366.30 = 29,366.30 : x
  2. Step 2: Convert to fraction form
    13,206.80/29,366.30 = 29,366.30/x
  3. Step 3: Cross multiply
    13,206.80x = 29,366.30 × 29,366.30
  4. Step 4: Simplify right side
    13,206.80x = 862,379,392.15
  5. Step 5: Solve for x
    x = 862,379,392.15/13,206.80
  6. Step 6: Final answer
    x = 65,298.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.