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Finding the Third Proportional to 9,237.38 and 20,320.13

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Solution

The third proportional to 9,237.38 and 20,320.13 is: 44,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.38 : 20,320.13 = 20,320.13 : x
  2. Step 2: Convert to fraction form
    9,237.38/20,320.13 = 20,320.13/x
  3. Step 3: Cross multiply
    9,237.38x = 20,320.13 × 20,320.13
  4. Step 4: Simplify right side
    9,237.38x = 412,907,480.02
  5. Step 5: Solve for x
    x = 412,907,480.02/9,237.38
  6. Step 6: Final answer
    x = 44,699.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.