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Finding the Third Proportional to 19,388 and 29,842

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Solution

The third proportional to 19,388 and 29,842 is: 45,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388 : 29,842 = 29,842 : x
  2. Step 2: Convert to fraction form
    19,388/29,842 = 29,842/x
  3. Step 3: Cross multiply
    19,388x = 29,842 × 29,842
  4. Step 4: Simplify right side
    19,388x = 890,544,964
  5. Step 5: Solve for x
    x = 890,544,964/19,388
  6. Step 6: Final answer
    x = 45,932.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.