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Finding the Third Proportional to 12,666 and 26,826

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Solution

The third proportional to 12,666 and 26,826 is: 56,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666 : 26,826 = 26,826 : x
  2. Step 2: Convert to fraction form
    12,666/26,826 = 26,826/x
  3. Step 3: Cross multiply
    12,666x = 26,826 × 26,826
  4. Step 4: Simplify right side
    12,666x = 719,634,276
  5. Step 5: Solve for x
    x = 719,634,276/12,666
  6. Step 6: Final answer
    x = 56,816.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.