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Finding the Third Proportional to 7,846 and 14,444

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Solution

The third proportional to 7,846 and 14,444 is: 26,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 14,444 = 14,444 : x
  2. Step 2: Convert to fraction form
    7,846/14,444 = 14,444/x
  3. Step 3: Cross multiply
    7,846x = 14,444 × 14,444
  4. Step 4: Simplify right side
    7,846x = 208,629,136
  5. Step 5: Solve for x
    x = 208,629,136/7,846
  6. Step 6: Final answer
    x = 26,590.51

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.