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Finding the Third Proportional to 4,786.13 and 10,140.38

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Solution

The third proportional to 4,786.13 and 10,140.38 is: 21,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.13 : 10,140.38 = 10,140.38 : x
  2. Step 2: Convert to fraction form
    4,786.13/10,140.38 = 10,140.38/x
  3. Step 3: Cross multiply
    4,786.13x = 10,140.38 × 10,140.38
  4. Step 4: Simplify right side
    4,786.13x = 102,827,205.14
  5. Step 5: Solve for x
    x = 102,827,205.14/4,786.13
  6. Step 6: Final answer
    x = 21,484.44

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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.