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Finding the Third Proportional to 8,443.13 and 20,315.25

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Solution

The third proportional to 8,443.13 and 20,315.25 is: 48,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.13 : 20,315.25 = 20,315.25 : x
  2. Step 2: Convert to fraction form
    8,443.13/20,315.25 = 20,315.25/x
  3. Step 3: Cross multiply
    8,443.13x = 20,315.25 × 20,315.25
  4. Step 4: Simplify right side
    8,443.13x = 412,709,382.56
  5. Step 5: Solve for x
    x = 412,709,382.56/8,443.13
  6. Step 6: Final answer
    x = 48,881.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.