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Finding the Third Proportional to 13,643.36 and 29,822.79

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Solution

The third proportional to 13,643.36 and 29,822.79 is: 65,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.36 : 29,822.79 = 29,822.79 : x
  2. Step 2: Convert to fraction form
    13,643.36/29,822.79 = 29,822.79/x
  3. Step 3: Cross multiply
    13,643.36x = 29,822.79 × 29,822.79
  4. Step 4: Simplify right side
    13,643.36x = 889,398,922.21
  5. Step 5: Solve for x
    x = 889,398,922.21/13,643.36
  6. Step 6: Final answer
    x = 65,189.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.