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Finding the Third Proportional to 22,388 and 30,842

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Solution

The third proportional to 22,388 and 30,842 is: 42,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388 : 30,842 = 30,842 : x
  2. Step 2: Convert to fraction form
    22,388/30,842 = 30,842/x
  3. Step 3: Cross multiply
    22,388x = 30,842 × 30,842
  4. Step 4: Simplify right side
    22,388x = 951,228,964
  5. Step 5: Solve for x
    x = 951,228,964/22,388
  6. Step 6: Final answer
    x = 42,488.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.