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Finding the Third Proportional to 27,972 and 58,698

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Solution

The third proportional to 27,972 and 58,698 is: 123,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 58,698 = 58,698 : x
  2. Step 2: Convert to fraction form
    27,972/58,698 = 58,698/x
  3. Step 3: Cross multiply
    27,972x = 58,698 × 58,698
  4. Step 4: Simplify right side
    27,972x = 3,445,455,204
  5. Step 5: Solve for x
    x = 3,445,455,204/27,972
  6. Step 6: Final answer
    x = 123,175.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.