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Finding the Third Proportional to 11,653.88 and 18,533.81

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Solution

The third proportional to 11,653.88 and 18,533.81 is: 29,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.88 : 18,533.81 = 18,533.81 : x
  2. Step 2: Convert to fraction form
    11,653.88/18,533.81 = 18,533.81/x
  3. Step 3: Cross multiply
    11,653.88x = 18,533.81 × 18,533.81
  4. Step 4: Simplify right side
    11,653.88x = 343,502,205.79
  5. Step 5: Solve for x
    x = 343,502,205.79/11,653.88
  6. Step 6: Final answer
    x = 29,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.