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Finding the Third Proportional to 7,055.44 and 9,182.53

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Solution

The third proportional to 7,055.44 and 9,182.53 is: 11,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.44 : 9,182.53 = 9,182.53 : x
  2. Step 2: Convert to fraction form
    7,055.44/9,182.53 = 9,182.53/x
  3. Step 3: Cross multiply
    7,055.44x = 9,182.53 × 9,182.53
  4. Step 4: Simplify right side
    7,055.44x = 84,318,880.16
  5. Step 5: Solve for x
    x = 84,318,880.16/7,055.44
  6. Step 6: Final answer
    x = 11,950.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.