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Finding the Third Proportional to 8,411.44 and 13,060.97

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Solution

The third proportional to 8,411.44 and 13,060.97 is: 20,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.44 : 13,060.97 = 13,060.97 : x
  2. Step 2: Convert to fraction form
    8,411.44/13,060.97 = 13,060.97/x
  3. Step 3: Cross multiply
    8,411.44x = 13,060.97 × 13,060.97
  4. Step 4: Simplify right side
    8,411.44x = 170,588,904.69
  5. Step 5: Solve for x
    x = 170,588,904.69/8,411.44
  6. Step 6: Final answer
    x = 20,280.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.