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Finding the Third Proportional to 22,186.13 and 33,509.81

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Solution

The third proportional to 22,186.13 and 33,509.81 is: 50,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.13 : 33,509.81 = 33,509.81 : x
  2. Step 2: Convert to fraction form
    22,186.13/33,509.81 = 33,509.81/x
  3. Step 3: Cross multiply
    22,186.13x = 33,509.81 × 33,509.81
  4. Step 4: Simplify right side
    22,186.13x = 1,122,907,533.79
  5. Step 5: Solve for x
    x = 1,122,907,533.79/22,186.13
  6. Step 6: Final answer
    x = 50,613.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.