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Finding the Third Proportional to 13,248 and 27,855

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Solution

The third proportional to 13,248 and 27,855 is: 58,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 27,855 = 27,855 : x
  2. Step 2: Convert to fraction form
    13,248/27,855 = 27,855/x
  3. Step 3: Cross multiply
    13,248x = 27,855 × 27,855
  4. Step 4: Simplify right side
    13,248x = 775,901,025
  5. Step 5: Solve for x
    x = 775,901,025/13,248
  6. Step 6: Final answer
    x = 58,567.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.