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Finding the Third Proportional to 17,430.19 and 27,028.69

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Solution

The third proportional to 17,430.19 and 27,028.69 is: 41,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.19 : 27,028.69 = 27,028.69 : x
  2. Step 2: Convert to fraction form
    17,430.19/27,028.69 = 27,028.69/x
  3. Step 3: Cross multiply
    17,430.19x = 27,028.69 × 27,028.69
  4. Step 4: Simplify right side
    17,430.19x = 730,549,947.97
  5. Step 5: Solve for x
    x = 730,549,947.97/17,430.19
  6. Step 6: Final answer
    x = 41,912.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.