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Finding the Third Proportional to 5,186.53 and 11,246.34

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Solution

The third proportional to 5,186.53 and 11,246.34 is: 24,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.53 : 11,246.34 = 11,246.34 : x
  2. Step 2: Convert to fraction form
    5,186.53/11,246.34 = 11,246.34/x
  3. Step 3: Cross multiply
    5,186.53x = 11,246.34 × 11,246.34
  4. Step 4: Simplify right side
    5,186.53x = 126,480,247.74
  5. Step 5: Solve for x
    x = 126,480,247.74/5,186.53
  6. Step 6: Final answer
    x = 24,386.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.