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Finding the Third Proportional to 20,310 and 42,844

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Solution

The third proportional to 20,310 and 42,844 is: 90,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310 : 42,844 = 42,844 : x
  2. Step 2: Convert to fraction form
    20,310/42,844 = 42,844/x
  3. Step 3: Cross multiply
    20,310x = 42,844 × 42,844
  4. Step 4: Simplify right side
    20,310x = 1,835,608,336
  5. Step 5: Solve for x
    x = 1,835,608,336/20,310
  6. Step 6: Final answer
    x = 90,379.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.