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Finding the Third Proportional to 14,856 and 24,756

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Solution

The third proportional to 14,856 and 24,756 is: 41,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 24,756 = 24,756 : x
  2. Step 2: Convert to fraction form
    14,856/24,756 = 24,756/x
  3. Step 3: Cross multiply
    14,856x = 24,756 × 24,756
  4. Step 4: Simplify right side
    14,856x = 612,859,536
  5. Step 5: Solve for x
    x = 612,859,536/14,856
  6. Step 6: Final answer
    x = 41,253.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.