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Finding the Third Proportional to 6,097.50 and 9,017.25

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Solution

The third proportional to 6,097.50 and 9,017.25 is: 13,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.50 : 9,017.25 = 9,017.25 : x
  2. Step 2: Convert to fraction form
    6,097.50/9,017.25 = 9,017.25/x
  3. Step 3: Cross multiply
    6,097.50x = 9,017.25 × 9,017.25
  4. Step 4: Simplify right side
    6,097.50x = 81,310,797.56
  5. Step 5: Solve for x
    x = 81,310,797.56/6,097.50
  6. Step 6: Final answer
    x = 13,335.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.