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Finding the Third Proportional to 10,055.25 and 16,662.38

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Solution

The third proportional to 10,055.25 and 16,662.38 is: 27,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.25 : 16,662.38 = 16,662.38 : x
  2. Step 2: Convert to fraction form
    10,055.25/16,662.38 = 16,662.38/x
  3. Step 3: Cross multiply
    10,055.25x = 16,662.38 × 16,662.38
  4. Step 4: Simplify right side
    10,055.25x = 277,634,740.64
  5. Step 5: Solve for x
    x = 277,634,740.64/10,055.25
  6. Step 6: Final answer
    x = 27,610.92

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.