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Finding the Third Proportional to 10,169.06 and 15,378.84

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Solution

The third proportional to 10,169.06 and 15,378.84 is: 23,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.06 : 15,378.84 = 15,378.84 : x
  2. Step 2: Convert to fraction form
    10,169.06/15,378.84 = 15,378.84/x
  3. Step 3: Cross multiply
    10,169.06x = 15,378.84 × 15,378.84
  4. Step 4: Simplify right side
    10,169.06x = 236,508,835.09
  5. Step 5: Solve for x
    x = 236,508,835.09/10,169.06
  6. Step 6: Final answer
    x = 23,257.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.