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Finding the Third Proportional to 20,541 and 42,053

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Solution

The third proportional to 20,541 and 42,053 is: 86,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541 : 42,053 = 42,053 : x
  2. Step 2: Convert to fraction form
    20,541/42,053 = 42,053/x
  3. Step 3: Cross multiply
    20,541x = 42,053 × 42,053
  4. Step 4: Simplify right side
    20,541x = 1,768,454,809
  5. Step 5: Solve for x
    x = 1,768,454,809/20,541
  6. Step 6: Final answer
    x = 86,093.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.