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Finding the Third Proportional to 12,448 and 26,544

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Solution

The third proportional to 12,448 and 26,544 is: 56,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448 : 26,544 = 26,544 : x
  2. Step 2: Convert to fraction form
    12,448/26,544 = 26,544/x
  3. Step 3: Cross multiply
    12,448x = 26,544 × 26,544
  4. Step 4: Simplify right side
    12,448x = 704,583,936
  5. Step 5: Solve for x
    x = 704,583,936/12,448
  6. Step 6: Final answer
    x = 56,602.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.