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Finding the Third Proportional to 20,024 and 29,964

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Solution

The third proportional to 20,024 and 29,964 is: 44,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 29,964 = 29,964 : x
  2. Step 2: Convert to fraction form
    20,024/29,964 = 29,964/x
  3. Step 3: Cross multiply
    20,024x = 29,964 × 29,964
  4. Step 4: Simplify right side
    20,024x = 897,841,296
  5. Step 5: Solve for x
    x = 897,841,296/20,024
  6. Step 6: Final answer
    x = 44,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.