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Finding the Third Proportional to 13,554 and 31,653

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Solution

The third proportional to 13,554 and 31,653 is: 73,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 31,653 = 31,653 : x
  2. Step 2: Convert to fraction form
    13,554/31,653 = 31,653/x
  3. Step 3: Cross multiply
    13,554x = 31,653 × 31,653
  4. Step 4: Simplify right side
    13,554x = 1,001,912,409
  5. Step 5: Solve for x
    x = 1,001,912,409/13,554
  6. Step 6: Final answer
    x = 73,920.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.