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Finding the Third Proportional to 13,263.75 and 21,286.13

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Solution

The third proportional to 13,263.75 and 21,286.13 is: 34,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.75 : 21,286.13 = 21,286.13 : x
  2. Step 2: Convert to fraction form
    13,263.75/21,286.13 = 21,286.13/x
  3. Step 3: Cross multiply
    13,263.75x = 21,286.13 × 21,286.13
  4. Step 4: Simplify right side
    13,263.75x = 453,099,117.52
  5. Step 5: Solve for x
    x = 453,099,117.52/13,263.75
  6. Step 6: Final answer
    x = 34,160.71

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.