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Finding the Third Proportional to 9,202.50 and 18,729

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Solution

The third proportional to 9,202.50 and 18,729 is: 38,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.50 : 18,729 = 18,729 : x
  2. Step 2: Convert to fraction form
    9,202.50/18,729 = 18,729/x
  3. Step 3: Cross multiply
    9,202.50x = 18,729 × 18,729
  4. Step 4: Simplify right side
    9,202.50x = 350,775,441
  5. Step 5: Solve for x
    x = 350,775,441/9,202.50
  6. Step 6: Final answer
    x = 38,117.41

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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.