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Finding the Third Proportional to 19,674 and 29,592

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Solution

The third proportional to 19,674 and 29,592 is: 44,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 29,592 = 29,592 : x
  2. Step 2: Convert to fraction form
    19,674/29,592 = 29,592/x
  3. Step 3: Cross multiply
    19,674x = 29,592 × 29,592
  4. Step 4: Simplify right side
    19,674x = 875,686,464
  5. Step 5: Solve for x
    x = 875,686,464/19,674
  6. Step 6: Final answer
    x = 44,509.83

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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.