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Finding the Third Proportional to 10,171.47 and 15,550.34

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Solution

The third proportional to 10,171.47 and 15,550.34 is: 23,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.47 : 15,550.34 = 15,550.34 : x
  2. Step 2: Convert to fraction form
    10,171.47/15,550.34 = 15,550.34/x
  3. Step 3: Cross multiply
    10,171.47x = 15,550.34 × 15,550.34
  4. Step 4: Simplify right side
    10,171.47x = 241,813,038.88
  5. Step 5: Solve for x
    x = 241,813,038.88/10,171.47
  6. Step 6: Final answer
    x = 23,773.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.