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Finding the Third Proportional to 8,195.06 and 13,415.06

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Solution

The third proportional to 8,195.06 and 13,415.06 is: 21,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.06 : 13,415.06 = 13,415.06 : x
  2. Step 2: Convert to fraction form
    8,195.06/13,415.06 = 13,415.06/x
  3. Step 3: Cross multiply
    8,195.06x = 13,415.06 × 13,415.06
  4. Step 4: Simplify right side
    8,195.06x = 179,963,901.88
  5. Step 5: Solve for x
    x = 179,963,901.88/8,195.06
  6. Step 6: Final answer
    x = 21,960.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.