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Finding the Third Proportional to 12,306 and 28,891

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Solution

The third proportional to 12,306 and 28,891 is: 67,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306 : 28,891 = 28,891 : x
  2. Step 2: Convert to fraction form
    12,306/28,891 = 28,891/x
  3. Step 3: Cross multiply
    12,306x = 28,891 × 28,891
  4. Step 4: Simplify right side
    12,306x = 834,689,881
  5. Step 5: Solve for x
    x = 834,689,881/12,306
  6. Step 6: Final answer
    x = 67,827.88

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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.