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Finding the Third Proportional to 13,065.28 and 19,720.36

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Solution

The third proportional to 13,065.28 and 19,720.36 is: 29,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.28 : 19,720.36 = 19,720.36 : x
  2. Step 2: Convert to fraction form
    13,065.28/19,720.36 = 19,720.36/x
  3. Step 3: Cross multiply
    13,065.28x = 19,720.36 × 19,720.36
  4. Step 4: Simplify right side
    13,065.28x = 388,892,573.88
  5. Step 5: Solve for x
    x = 388,892,573.88/13,065.28
  6. Step 6: Final answer
    x = 29,765.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.