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Finding the Third Proportional to 5,880.25 and 9,007.75

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Solution

The third proportional to 5,880.25 and 9,007.75 is: 13,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.25 : 9,007.75 = 9,007.75 : x
  2. Step 2: Convert to fraction form
    5,880.25/9,007.75 = 9,007.75/x
  3. Step 3: Cross multiply
    5,880.25x = 9,007.75 × 9,007.75
  4. Step 4: Simplify right side
    5,880.25x = 81,139,560.06
  5. Step 5: Solve for x
    x = 81,139,560.06/5,880.25
  6. Step 6: Final answer
    x = 13,798.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.