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Finding the Third Proportional to 9,102 and 13,653

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Solution

The third proportional to 9,102 and 13,653 is: 20,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102 : 13,653 = 13,653 : x
  2. Step 2: Convert to fraction form
    9,102/13,653 = 13,653/x
  3. Step 3: Cross multiply
    9,102x = 13,653 × 13,653
  4. Step 4: Simplify right side
    9,102x = 186,404,409
  5. Step 5: Solve for x
    x = 186,404,409/9,102
  6. Step 6: Final answer
    x = 20,479.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.