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Finding the Third Proportional to 29,189 and 56,919

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Solution

The third proportional to 29,189 and 56,919 is: 110,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189 : 56,919 = 56,919 : x
  2. Step 2: Convert to fraction form
    29,189/56,919 = 56,919/x
  3. Step 3: Cross multiply
    29,189x = 56,919 × 56,919
  4. Step 4: Simplify right side
    29,189x = 3,239,772,561
  5. Step 5: Solve for x
    x = 3,239,772,561/29,189
  6. Step 6: Final answer
    x = 110,992.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.