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Finding the Third Proportional to 12,840 and 26,904

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Solution

The third proportional to 12,840 and 26,904 is: 56,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 26,904 = 26,904 : x
  2. Step 2: Convert to fraction form
    12,840/26,904 = 26,904/x
  3. Step 3: Cross multiply
    12,840x = 26,904 × 26,904
  4. Step 4: Simplify right side
    12,840x = 723,825,216
  5. Step 5: Solve for x
    x = 723,825,216/12,840
  6. Step 6: Final answer
    x = 56,372.68

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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.