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Finding the Third Proportional to 29,558 and 64,039

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Solution

The third proportional to 29,558 and 64,039 is: 138,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,558 : 64,039 = 64,039 : x
  2. Step 2: Convert to fraction form
    29,558/64,039 = 64,039/x
  3. Step 3: Cross multiply
    29,558x = 64,039 × 64,039
  4. Step 4: Simplify right side
    29,558x = 4,100,993,521
  5. Step 5: Solve for x
    x = 4,100,993,521/29,558
  6. Step 6: Final answer
    x = 138,743.94

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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.