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Finding the Third Proportional to 20,523 and 29,043

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Solution

The third proportional to 20,523 and 29,043 is: 41,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523 : 29,043 = 29,043 : x
  2. Step 2: Convert to fraction form
    20,523/29,043 = 29,043/x
  3. Step 3: Cross multiply
    20,523x = 29,043 × 29,043
  4. Step 4: Simplify right side
    20,523x = 843,495,849
  5. Step 5: Solve for x
    x = 843,495,849/20,523
  6. Step 6: Final answer
    x = 41,100.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.