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Finding the Third Proportional to 10,617.75 and 16,473.38

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Solution

The third proportional to 10,617.75 and 16,473.38 is: 25,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.75 : 16,473.38 = 16,473.38 : x
  2. Step 2: Convert to fraction form
    10,617.75/16,473.38 = 16,473.38/x
  3. Step 3: Cross multiply
    10,617.75x = 16,473.38 × 16,473.38
  4. Step 4: Simplify right side
    10,617.75x = 271,372,083.89
  5. Step 5: Solve for x
    x = 271,372,083.89/10,617.75
  6. Step 6: Final answer
    x = 25,558.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.