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Finding the Third Proportional to 9,378.38 and 20,012.25

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Solution

The third proportional to 9,378.38 and 20,012.25 is: 42,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.38 : 20,012.25 = 20,012.25 : x
  2. Step 2: Convert to fraction form
    9,378.38/20,012.25 = 20,012.25/x
  3. Step 3: Cross multiply
    9,378.38x = 20,012.25 × 20,012.25
  4. Step 4: Simplify right side
    9,378.38x = 400,490,150.06
  5. Step 5: Solve for x
    x = 400,490,150.06/9,378.38
  6. Step 6: Final answer
    x = 42,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.