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Finding the Third Proportional to 5,185 and 11,343

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Solution

The third proportional to 5,185 and 11,343 is: 24,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 11,343 = 11,343 : x
  2. Step 2: Convert to fraction form
    5,185/11,343 = 11,343/x
  3. Step 3: Cross multiply
    5,185x = 11,343 × 11,343
  4. Step 4: Simplify right side
    5,185x = 128,663,649
  5. Step 5: Solve for x
    x = 128,663,649/5,185
  6. Step 6: Final answer
    x = 24,814.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.