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Finding the Third Proportional to 12,183 and 26,309

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Solution

The third proportional to 12,183 and 26,309 is: 56,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183 : 26,309 = 26,309 : x
  2. Step 2: Convert to fraction form
    12,183/26,309 = 26,309/x
  3. Step 3: Cross multiply
    12,183x = 26,309 × 26,309
  4. Step 4: Simplify right side
    12,183x = 692,163,481
  5. Step 5: Solve for x
    x = 692,163,481/12,183
  6. Step 6: Final answer
    x = 56,813.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.