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Finding the Third Proportional to 13,045 and 17,476.25

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Solution

The third proportional to 13,045 and 17,476.25 is: 23,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045 : 17,476.25 = 17,476.25 : x
  2. Step 2: Convert to fraction form
    13,045/17,476.25 = 17,476.25/x
  3. Step 3: Cross multiply
    13,045x = 17,476.25 × 17,476.25
  4. Step 4: Simplify right side
    13,045x = 305,419,314.06
  5. Step 5: Solve for x
    x = 305,419,314.06/13,045
  6. Step 6: Final answer
    x = 23,412.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.