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Finding the Third Proportional to 13,618.13 and 21,399.19

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Solution

The third proportional to 13,618.13 and 21,399.19 is: 33,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.13 : 21,399.19 = 21,399.19 : x
  2. Step 2: Convert to fraction form
    13,618.13/21,399.19 = 21,399.19/x
  3. Step 3: Cross multiply
    13,618.13x = 21,399.19 × 21,399.19
  4. Step 4: Simplify right side
    13,618.13x = 457,925,225.66
  5. Step 5: Solve for x
    x = 457,925,225.66/13,618.13
  6. Step 6: Final answer
    x = 33,626.16

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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.