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Finding the Third Proportional to 13,799.25 and 29,786.25

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Solution

The third proportional to 13,799.25 and 29,786.25 is: 64,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.25 : 29,786.25 = 29,786.25 : x
  2. Step 2: Convert to fraction form
    13,799.25/29,786.25 = 29,786.25/x
  3. Step 3: Cross multiply
    13,799.25x = 29,786.25 × 29,786.25
  4. Step 4: Simplify right side
    13,799.25x = 887,220,689.06
  5. Step 5: Solve for x
    x = 887,220,689.06/13,799.25
  6. Step 6: Final answer
    x = 64,294.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.