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Finding the Third Proportional to 10,383.19 and 19,171.69

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Solution

The third proportional to 10,383.19 and 19,171.69 is: 35,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.19 : 19,171.69 = 19,171.69 : x
  2. Step 2: Convert to fraction form
    10,383.19/19,171.69 = 19,171.69/x
  3. Step 3: Cross multiply
    10,383.19x = 19,171.69 × 19,171.69
  4. Step 4: Simplify right side
    10,383.19x = 367,553,601.60
  5. Step 5: Solve for x
    x = 367,553,601.60/10,383.19
  6. Step 6: Final answer
    x = 35,398.92

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.