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Finding the Third Proportional to 5,136.19 and 11,091.94

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Solution

The third proportional to 5,136.19 and 11,091.94 is: 23,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.19 : 11,091.94 = 11,091.94 : x
  2. Step 2: Convert to fraction form
    5,136.19/11,091.94 = 11,091.94/x
  3. Step 3: Cross multiply
    5,136.19x = 11,091.94 × 11,091.94
  4. Step 4: Simplify right side
    5,136.19x = 123,031,077.50
  5. Step 5: Solve for x
    x = 123,031,077.50/5,136.19
  6. Step 6: Final answer
    x = 23,953.77

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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.