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Finding the Third Proportional to 4,462.88 and 10,553.06

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Solution

The third proportional to 4,462.88 and 10,553.06 is: 24,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.88 : 10,553.06 = 10,553.06 : x
  2. Step 2: Convert to fraction form
    4,462.88/10,553.06 = 10,553.06/x
  3. Step 3: Cross multiply
    4,462.88x = 10,553.06 × 10,553.06
  4. Step 4: Simplify right side
    4,462.88x = 111,367,128.13
  5. Step 5: Solve for x
    x = 111,367,128.13/4,462.88
  6. Step 6: Final answer
    x = 24,954.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.