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Finding the Third Proportional to 27,168 and 41,032

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Solution

The third proportional to 27,168 and 41,032 is: 61,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 41,032 = 41,032 : x
  2. Step 2: Convert to fraction form
    27,168/41,032 = 41,032/x
  3. Step 3: Cross multiply
    27,168x = 41,032 × 41,032
  4. Step 4: Simplify right side
    27,168x = 1,683,625,024
  5. Step 5: Solve for x
    x = 1,683,625,024/27,168
  6. Step 6: Final answer
    x = 61,970.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.