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Finding the Third Proportional to 12,534 and 26,796

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Solution

The third proportional to 12,534 and 26,796 is: 57,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 26,796 = 26,796 : x
  2. Step 2: Convert to fraction form
    12,534/26,796 = 26,796/x
  3. Step 3: Cross multiply
    12,534x = 26,796 × 26,796
  4. Step 4: Simplify right side
    12,534x = 718,025,616
  5. Step 5: Solve for x
    x = 718,025,616/12,534
  6. Step 6: Final answer
    x = 57,286.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.