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Finding the Third Proportional to 19,462 and 29,764

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Solution

The third proportional to 19,462 and 29,764 is: 45,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 29,764 = 29,764 : x
  2. Step 2: Convert to fraction form
    19,462/29,764 = 29,764/x
  3. Step 3: Cross multiply
    19,462x = 29,764 × 29,764
  4. Step 4: Simplify right side
    19,462x = 885,895,696
  5. Step 5: Solve for x
    x = 885,895,696/19,462
  6. Step 6: Final answer
    x = 45,519.25

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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.