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Finding the Third Proportional to 20,511 and 44,713

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Solution

The third proportional to 20,511 and 44,713 is: 97,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 44,713 = 44,713 : x
  2. Step 2: Convert to fraction form
    20,511/44,713 = 44,713/x
  3. Step 3: Cross multiply
    20,511x = 44,713 × 44,713
  4. Step 4: Simplify right side
    20,511x = 1,999,252,369
  5. Step 5: Solve for x
    x = 1,999,252,369/20,511
  6. Step 6: Final answer
    x = 97,472.20

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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.