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Finding the Third Proportional to 9,012 and 18,739.50

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Solution

The third proportional to 9,012 and 18,739.50 is: 38,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012 : 18,739.50 = 18,739.50 : x
  2. Step 2: Convert to fraction form
    9,012/18,739.50 = 18,739.50/x
  3. Step 3: Cross multiply
    9,012x = 18,739.50 × 18,739.50
  4. Step 4: Simplify right side
    9,012x = 351,168,860.25
  5. Step 5: Solve for x
    x = 351,168,860.25/9,012
  6. Step 6: Final answer
    x = 38,966.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.