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Finding the Third Proportional to 9,087 and 18,541.50

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Solution

The third proportional to 9,087 and 18,541.50 is: 37,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087 : 18,541.50 = 18,541.50 : x
  2. Step 2: Convert to fraction form
    9,087/18,541.50 = 18,541.50/x
  3. Step 3: Cross multiply
    9,087x = 18,541.50 × 18,541.50
  4. Step 4: Simplify right side
    9,087x = 343,787,222.25
  5. Step 5: Solve for x
    x = 343,787,222.25/9,087
  6. Step 6: Final answer
    x = 37,832.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.