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Finding the Third Proportional to 19,694 and 29,232

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Solution

The third proportional to 19,694 and 29,232 is: 43,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 29,232 = 29,232 : x
  2. Step 2: Convert to fraction form
    19,694/29,232 = 29,232/x
  3. Step 3: Cross multiply
    19,694x = 29,232 × 29,232
  4. Step 4: Simplify right side
    19,694x = 854,509,824
  5. Step 5: Solve for x
    x = 854,509,824/19,694
  6. Step 6: Final answer
    x = 43,389.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.