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Finding the Third Proportional to 9,357.50 and 20,012

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Solution

The third proportional to 9,357.50 and 20,012 is: 42,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.50 : 20,012 = 20,012 : x
  2. Step 2: Convert to fraction form
    9,357.50/20,012 = 20,012/x
  3. Step 3: Cross multiply
    9,357.50x = 20,012 × 20,012
  4. Step 4: Simplify right side
    9,357.50x = 400,480,144
  5. Step 5: Solve for x
    x = 400,480,144/9,357.50
  6. Step 6: Final answer
    x = 42,797.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.