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Finding the Third Proportional to 9,187.50 and 18,919.50

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Solution

The third proportional to 9,187.50 and 18,919.50 is: 38,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.50 : 18,919.50 = 18,919.50 : x
  2. Step 2: Convert to fraction form
    9,187.50/18,919.50 = 18,919.50/x
  3. Step 3: Cross multiply
    9,187.50x = 18,919.50 × 18,919.50
  4. Step 4: Simplify right side
    9,187.50x = 357,947,480.25
  5. Step 5: Solve for x
    x = 357,947,480.25/9,187.50
  6. Step 6: Final answer
    x = 38,960.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.