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Finding the Third Proportional to 11,533.01 and 17,786.46

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Solution

The third proportional to 11,533.01 and 17,786.46 is: 27,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.01 : 17,786.46 = 17,786.46 : x
  2. Step 2: Convert to fraction form
    11,533.01/17,786.46 = 17,786.46/x
  3. Step 3: Cross multiply
    11,533.01x = 17,786.46 × 17,786.46
  4. Step 4: Simplify right side
    11,533.01x = 316,358,192.68
  5. Step 5: Solve for x
    x = 316,358,192.68/11,533.01
  6. Step 6: Final answer
    x = 27,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.