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Finding the Third Proportional to 14,146 and 22,751

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Solution

The third proportional to 14,146 and 22,751 is: 36,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 22,751 = 22,751 : x
  2. Step 2: Convert to fraction form
    14,146/22,751 = 22,751/x
  3. Step 3: Cross multiply
    14,146x = 22,751 × 22,751
  4. Step 4: Simplify right side
    14,146x = 517,608,001
  5. Step 5: Solve for x
    x = 517,608,001/14,146
  6. Step 6: Final answer
    x = 36,590.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.