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Finding the Third Proportional to 20,591 and 44,959

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Solution

The third proportional to 20,591 and 44,959 is: 98,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591 : 44,959 = 44,959 : x
  2. Step 2: Convert to fraction form
    20,591/44,959 = 44,959/x
  3. Step 3: Cross multiply
    20,591x = 44,959 × 44,959
  4. Step 4: Simplify right side
    20,591x = 2,021,311,681
  5. Step 5: Solve for x
    x = 2,021,311,681/20,591
  6. Step 6: Final answer
    x = 98,164.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.