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Finding the Third Proportional to 20,217 and 42,529

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Solution

The third proportional to 20,217 and 42,529 is: 89,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 42,529 = 42,529 : x
  2. Step 2: Convert to fraction form
    20,217/42,529 = 42,529/x
  3. Step 3: Cross multiply
    20,217x = 42,529 × 42,529
  4. Step 4: Simplify right side
    20,217x = 1,808,715,841
  5. Step 5: Solve for x
    x = 1,808,715,841/20,217
  6. Step 6: Final answer
    x = 89,465.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.