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Finding the Third Proportional to 11,765.25 and 17,445.38

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Solution

The third proportional to 11,765.25 and 17,445.38 is: 25,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 17,445.38 = 17,445.38 : x
  2. Step 2: Convert to fraction form
    11,765.25/17,445.38 = 17,445.38/x
  3. Step 3: Cross multiply
    11,765.25x = 17,445.38 × 17,445.38
  4. Step 4: Simplify right side
    11,765.25x = 304,341,108.89
  5. Step 5: Solve for x
    x = 304,341,108.89/11,765.25
  6. Step 6: Final answer
    x = 25,867.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.