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Finding the Third Proportional to 19,464 and 29,767

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Solution

The third proportional to 19,464 and 29,767 is: 45,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 29,767 = 29,767 : x
  2. Step 2: Convert to fraction form
    19,464/29,767 = 29,767/x
  3. Step 3: Cross multiply
    19,464x = 29,767 × 29,767
  4. Step 4: Simplify right side
    19,464x = 886,074,289
  5. Step 5: Solve for x
    x = 886,074,289/19,464
  6. Step 6: Final answer
    x = 45,523.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.