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Finding the Third Proportional to 27,232 and 57,717

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Solution

The third proportional to 27,232 and 57,717 is: 122,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 57,717 = 57,717 : x
  2. Step 2: Convert to fraction form
    27,232/57,717 = 57,717/x
  3. Step 3: Cross multiply
    27,232x = 57,717 × 57,717
  4. Step 4: Simplify right side
    27,232x = 3,331,252,089
  5. Step 5: Solve for x
    x = 3,331,252,089/27,232
  6. Step 6: Final answer
    x = 122,328.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.