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Finding the Third Proportional to 20,009 and 29,892

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Solution

The third proportional to 20,009 and 29,892 is: 44,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 29,892 = 29,892 : x
  2. Step 2: Convert to fraction form
    20,009/29,892 = 29,892/x
  3. Step 3: Cross multiply
    20,009x = 29,892 × 29,892
  4. Step 4: Simplify right side
    20,009x = 893,531,664
  5. Step 5: Solve for x
    x = 893,531,664/20,009
  6. Step 6: Final answer
    x = 44,656.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.