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Finding the Third Proportional to 3,304.25 and 7,256.50

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Solution

The third proportional to 3,304.25 and 7,256.50 is: 15,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.25 : 7,256.50 = 7,256.50 : x
  2. Step 2: Convert to fraction form
    3,304.25/7,256.50 = 7,256.50/x
  3. Step 3: Cross multiply
    3,304.25x = 7,256.50 × 7,256.50
  4. Step 4: Simplify right side
    3,304.25x = 52,656,792.25
  5. Step 5: Solve for x
    x = 52,656,792.25/3,304.25
  6. Step 6: Final answer
    x = 15,936.08

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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.