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Finding the Third Proportional to 12,343.50 and 26,334

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Solution

The third proportional to 12,343.50 and 26,334 is: 56,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.50 : 26,334 = 26,334 : x
  2. Step 2: Convert to fraction form
    12,343.50/26,334 = 26,334/x
  3. Step 3: Cross multiply
    12,343.50x = 26,334 × 26,334
  4. Step 4: Simplify right side
    12,343.50x = 693,479,556
  5. Step 5: Solve for x
    x = 693,479,556/12,343.50
  6. Step 6: Final answer
    x = 56,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.