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Finding the Third Proportional to 12,307 and 28,893

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Solution

The third proportional to 12,307 and 28,893 is: 67,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307 : 28,893 = 28,893 : x
  2. Step 2: Convert to fraction form
    12,307/28,893 = 28,893/x
  3. Step 3: Cross multiply
    12,307x = 28,893 × 28,893
  4. Step 4: Simplify right side
    12,307x = 834,805,449
  5. Step 5: Solve for x
    x = 834,805,449/12,307
  6. Step 6: Final answer
    x = 67,831.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.