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Finding the Third Proportional to 13,496.91 and 21,170.81

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Solution

The third proportional to 13,496.91 and 21,170.81 is: 33,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.91 : 21,170.81 = 21,170.81 : x
  2. Step 2: Convert to fraction form
    13,496.91/21,170.81 = 21,170.81/x
  3. Step 3: Cross multiply
    13,496.91x = 21,170.81 × 21,170.81
  4. Step 4: Simplify right side
    13,496.91x = 448,203,301.91
  5. Step 5: Solve for x
    x = 448,203,301.91/13,496.91
  6. Step 6: Final answer
    x = 33,207.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.