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Finding the Third Proportional to 5,225.45 and 7,180.37

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Solution

The third proportional to 5,225.45 and 7,180.37 is: 9,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.45 : 7,180.37 = 7,180.37 : x
  2. Step 2: Convert to fraction form
    5,225.45/7,180.37 = 7,180.37/x
  3. Step 3: Cross multiply
    5,225.45x = 7,180.37 × 7,180.37
  4. Step 4: Simplify right side
    5,225.45x = 51,557,644.90
  5. Step 5: Solve for x
    x = 51,557,644.90/5,225.45
  6. Step 6: Final answer
    x = 9,866.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.