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Finding the Third Proportional to 29,961 and 38,911.50

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Solution

The third proportional to 29,961 and 38,911.50 is: 50,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961 : 38,911.50 = 38,911.50 : x
  2. Step 2: Convert to fraction form
    29,961/38,911.50 = 38,911.50/x
  3. Step 3: Cross multiply
    29,961x = 38,911.50 × 38,911.50
  4. Step 4: Simplify right side
    29,961x = 1,514,104,832.25
  5. Step 5: Solve for x
    x = 1,514,104,832.25/29,961
  6. Step 6: Final answer
    x = 50,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.