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Finding the Third Proportional to 13,699.13 and 17,275.78

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Solution

The third proportional to 13,699.13 and 17,275.78 is: 21,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.13 : 17,275.78 = 17,275.78 : x
  2. Step 2: Convert to fraction form
    13,699.13/17,275.78 = 17,275.78/x
  3. Step 3: Cross multiply
    13,699.13x = 17,275.78 × 17,275.78
  4. Step 4: Simplify right side
    13,699.13x = 298,452,617.80
  5. Step 5: Solve for x
    x = 298,452,617.80/13,699.13
  6. Step 6: Final answer
    x = 21,786.25

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.