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Finding the Third Proportional to 4,922 and 7,151

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Solution

The third proportional to 4,922 and 7,151 is: 10,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922 : 7,151 = 7,151 : x
  2. Step 2: Convert to fraction form
    4,922/7,151 = 7,151/x
  3. Step 3: Cross multiply
    4,922x = 7,151 × 7,151
  4. Step 4: Simplify right side
    4,922x = 51,136,801
  5. Step 5: Solve for x
    x = 51,136,801/4,922
  6. Step 6: Final answer
    x = 10,389.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.