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Finding the Third Proportional to 8,155.69 and 10,411.03

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Solution

The third proportional to 8,155.69 and 10,411.03 is: 13,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.69 : 10,411.03 = 10,411.03 : x
  2. Step 2: Convert to fraction form
    8,155.69/10,411.03 = 10,411.03/x
  3. Step 3: Cross multiply
    8,155.69x = 10,411.03 × 10,411.03
  4. Step 4: Simplify right side
    8,155.69x = 108,389,571.69
  5. Step 5: Solve for x
    x = 108,389,571.69/8,155.69
  6. Step 6: Final answer
    x = 13,290.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.