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Finding the Third Proportional to 12,078 and 17,307

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Solution

The third proportional to 12,078 and 17,307 is: 24,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 17,307 = 17,307 : x
  2. Step 2: Convert to fraction form
    12,078/17,307 = 17,307/x
  3. Step 3: Cross multiply
    12,078x = 17,307 × 17,307
  4. Step 4: Simplify right side
    12,078x = 299,532,249
  5. Step 5: Solve for x
    x = 299,532,249/12,078
  6. Step 6: Final answer
    x = 24,799.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.