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Finding the Third Proportional to 20,100 and 29,742

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Solution

The third proportional to 20,100 and 29,742 is: 44,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 29,742 = 29,742 : x
  2. Step 2: Convert to fraction form
    20,100/29,742 = 29,742/x
  3. Step 3: Cross multiply
    20,100x = 29,742 × 29,742
  4. Step 4: Simplify right side
    20,100x = 884,586,564
  5. Step 5: Solve for x
    x = 884,586,564/20,100
  6. Step 6: Final answer
    x = 44,009.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.