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Finding the Third Proportional to 11,915.25 and 17,670

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Solution

The third proportional to 11,915.25 and 17,670 is: 26,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.25 : 17,670 = 17,670 : x
  2. Step 2: Convert to fraction form
    11,915.25/17,670 = 17,670/x
  3. Step 3: Cross multiply
    11,915.25x = 17,670 × 17,670
  4. Step 4: Simplify right side
    11,915.25x = 312,228,900
  5. Step 5: Solve for x
    x = 312,228,900/11,915.25
  6. Step 6: Final answer
    x = 26,204.14

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