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Finding the Third Proportional to 4,162.55 and 8,917.36

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Solution

The third proportional to 4,162.55 and 8,917.36 is: 19,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.55 : 8,917.36 = 8,917.36 : x
  2. Step 2: Convert to fraction form
    4,162.55/8,917.36 = 8,917.36/x
  3. Step 3: Cross multiply
    4,162.55x = 8,917.36 × 8,917.36
  4. Step 4: Simplify right side
    4,162.55x = 79,519,298.22
  5. Step 5: Solve for x
    x = 79,519,298.22/4,162.55
  6. Step 6: Final answer
    x = 19,103.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.