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Finding the Third Proportional to 11,417.75 and 17,915.38

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Solution

The third proportional to 11,417.75 and 17,915.38 is: 28,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.75 : 17,915.38 = 17,915.38 : x
  2. Step 2: Convert to fraction form
    11,417.75/17,915.38 = 17,915.38/x
  3. Step 3: Cross multiply
    11,417.75x = 17,915.38 × 17,915.38
  4. Step 4: Simplify right side
    11,417.75x = 320,960,661.39
  5. Step 5: Solve for x
    x = 320,960,661.39/11,417.75
  6. Step 6: Final answer
    x = 28,110.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.