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Finding the Third Proportional to 29,189 and 44,513

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Solution

The third proportional to 29,189 and 44,513 is: 67,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189 : 44,513 = 44,513 : x
  2. Step 2: Convert to fraction form
    29,189/44,513 = 44,513/x
  3. Step 3: Cross multiply
    29,189x = 44,513 × 44,513
  4. Step 4: Simplify right side
    29,189x = 1,981,407,169
  5. Step 5: Solve for x
    x = 1,981,407,169/29,189
  6. Step 6: Final answer
    x = 67,881.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.