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Finding the Third Proportional to 14,886 and 28,404

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Solution

The third proportional to 14,886 and 28,404 is: 54,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886 : 28,404 = 28,404 : x
  2. Step 2: Convert to fraction form
    14,886/28,404 = 28,404/x
  3. Step 3: Cross multiply
    14,886x = 28,404 × 28,404
  4. Step 4: Simplify right side
    14,886x = 806,787,216
  5. Step 5: Solve for x
    x = 806,787,216/14,886
  6. Step 6: Final answer
    x = 54,197.72

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.