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Finding the Third Proportional to 13,905 and 25,623

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Solution

The third proportional to 13,905 and 25,623 is: 47,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 25,623 = 25,623 : x
  2. Step 2: Convert to fraction form
    13,905/25,623 = 25,623/x
  3. Step 3: Cross multiply
    13,905x = 25,623 × 25,623
  4. Step 4: Simplify right side
    13,905x = 656,538,129
  5. Step 5: Solve for x
    x = 656,538,129/13,905
  6. Step 6: Final answer
    x = 47,215.97

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.