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Finding the Third Proportional to 4,823.13 and 10,238.38

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Solution

The third proportional to 4,823.13 and 10,238.38 is: 21,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.13 : 10,238.38 = 10,238.38 : x
  2. Step 2: Convert to fraction form
    4,823.13/10,238.38 = 10,238.38/x
  3. Step 3: Cross multiply
    4,823.13x = 10,238.38 × 10,238.38
  4. Step 4: Simplify right side
    4,823.13x = 104,824,322.64
  5. Step 5: Solve for x
    x = 104,824,322.64/4,823.13
  6. Step 6: Final answer
    x = 21,733.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.