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Finding the Third Proportional to 11,133 and 23,184.38

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Solution

The third proportional to 11,133 and 23,184.38 is: 48,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133 : 23,184.38 = 23,184.38 : x
  2. Step 2: Convert to fraction form
    11,133/23,184.38 = 23,184.38/x
  3. Step 3: Cross multiply
    11,133x = 23,184.38 × 23,184.38
  4. Step 4: Simplify right side
    11,133x = 537,515,244.14
  5. Step 5: Solve for x
    x = 537,515,244.14/11,133
  6. Step 6: Final answer
    x = 48,281.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.