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Finding the Third Proportional to 5,192 and 11,213

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Solution

The third proportional to 5,192 and 11,213 is: 24,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 11,213 = 11,213 : x
  2. Step 2: Convert to fraction form
    5,192/11,213 = 11,213/x
  3. Step 3: Cross multiply
    5,192x = 11,213 × 11,213
  4. Step 4: Simplify right side
    5,192x = 125,731,369
  5. Step 5: Solve for x
    x = 125,731,369/5,192
  6. Step 6: Final answer
    x = 24,216.37

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1.5x scale

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.