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Finding the Third Proportional to 14,097.75 and 30,986.25

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Solution

The third proportional to 14,097.75 and 30,986.25 is: 68,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.75 : 30,986.25 = 30,986.25 : x
  2. Step 2: Convert to fraction form
    14,097.75/30,986.25 = 30,986.25/x
  3. Step 3: Cross multiply
    14,097.75x = 30,986.25 × 30,986.25
  4. Step 4: Simplify right side
    14,097.75x = 960,147,689.06
  5. Step 5: Solve for x
    x = 960,147,689.06/14,097.75
  6. Step 6: Final answer
    x = 68,106.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.