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Finding the Third Proportional to 8,155.69 and 13,228.31

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Solution

The third proportional to 8,155.69 and 13,228.31 is: 21,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.69 : 13,228.31 = 13,228.31 : x
  2. Step 2: Convert to fraction form
    8,155.69/13,228.31 = 13,228.31/x
  3. Step 3: Cross multiply
    8,155.69x = 13,228.31 × 13,228.31
  4. Step 4: Simplify right side
    8,155.69x = 174,988,251.60
  5. Step 5: Solve for x
    x = 174,988,251.60/8,155.69
  6. Step 6: Final answer
    x = 21,455.98

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.