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Finding the Third Proportional to 12,731 and 26,335

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Solution

The third proportional to 12,731 and 26,335 is: 54,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731 : 26,335 = 26,335 : x
  2. Step 2: Convert to fraction form
    12,731/26,335 = 26,335/x
  3. Step 3: Cross multiply
    12,731x = 26,335 × 26,335
  4. Step 4: Simplify right side
    12,731x = 693,532,225
  5. Step 5: Solve for x
    x = 693,532,225/12,731
  6. Step 6: Final answer
    x = 54,475.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.