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Finding the Third Proportional to 29,992 and 65,164

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Solution

The third proportional to 29,992 and 65,164 is: 141,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992 : 65,164 = 65,164 : x
  2. Step 2: Convert to fraction form
    29,992/65,164 = 65,164/x
  3. Step 3: Cross multiply
    29,992x = 65,164 × 65,164
  4. Step 4: Simplify right side
    29,992x = 4,246,346,896
  5. Step 5: Solve for x
    x = 4,246,346,896/29,992
  6. Step 6: Final answer
    x = 141,582.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.