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Finding the Third Proportional to 12,546 and 26,758

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Solution

The third proportional to 12,546 and 26,758 is: 57,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 26,758 = 26,758 : x
  2. Step 2: Convert to fraction form
    12,546/26,758 = 26,758/x
  3. Step 3: Cross multiply
    12,546x = 26,758 × 26,758
  4. Step 4: Simplify right side
    12,546x = 715,990,564
  5. Step 5: Solve for x
    x = 715,990,564/12,546
  6. Step 6: Final answer
    x = 57,069.23

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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.