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Finding the Third Proportional to 14,383.50 and 19,307

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Solution

The third proportional to 14,383.50 and 19,307 is: 25,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.50 : 19,307 = 19,307 : x
  2. Step 2: Convert to fraction form
    14,383.50/19,307 = 19,307/x
  3. Step 3: Cross multiply
    14,383.50x = 19,307 × 19,307
  4. Step 4: Simplify right side
    14,383.50x = 372,760,249
  5. Step 5: Solve for x
    x = 372,760,249/14,383.50
  6. Step 6: Final answer
    x = 25,915.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.