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Finding the Third Proportional to 9,093.52 and 18,449.02

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Solution

The third proportional to 9,093.52 and 18,449.02 is: 37,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.52 : 18,449.02 = 18,449.02 : x
  2. Step 2: Convert to fraction form
    9,093.52/18,449.02 = 18,449.02/x
  3. Step 3: Cross multiply
    9,093.52x = 18,449.02 × 18,449.02
  4. Step 4: Simplify right side
    9,093.52x = 340,366,177.53
  5. Step 5: Solve for x
    x = 340,366,177.53/9,093.52
  6. Step 6: Final answer
    x = 37,429.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.