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Finding the Third Proportional to 19,769 and 29,654

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Solution

The third proportional to 19,769 and 29,654 is: 44,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769 : 29,654 = 29,654 : x
  2. Step 2: Convert to fraction form
    19,769/29,654 = 29,654/x
  3. Step 3: Cross multiply
    19,769x = 29,654 × 29,654
  4. Step 4: Simplify right side
    19,769x = 879,359,716
  5. Step 5: Solve for x
    x = 879,359,716/19,769
  6. Step 6: Final answer
    x = 44,481.75

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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.