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Finding the Third Proportional to 20,004 and 29,894

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Solution

The third proportional to 20,004 and 29,894 is: 44,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004 : 29,894 = 29,894 : x
  2. Step 2: Convert to fraction form
    20,004/29,894 = 29,894/x
  3. Step 3: Cross multiply
    20,004x = 29,894 × 29,894
  4. Step 4: Simplify right side
    20,004x = 893,651,236
  5. Step 5: Solve for x
    x = 893,651,236/20,004
  6. Step 6: Final answer
    x = 44,673.63

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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.