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Finding the Third Proportional to 4,714 and 7,391

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Solution

The third proportional to 4,714 and 7,391 is: 11,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 7,391 = 7,391 : x
  2. Step 2: Convert to fraction form
    4,714/7,391 = 7,391/x
  3. Step 3: Cross multiply
    4,714x = 7,391 × 7,391
  4. Step 4: Simplify right side
    4,714x = 54,626,881
  5. Step 5: Solve for x
    x = 54,626,881/4,714
  6. Step 6: Final answer
    x = 11,588.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.