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Finding the Third Proportional to 11,830.64 and 19,718.44

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Solution

The third proportional to 11,830.64 and 19,718.44 is: 32,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.64 : 19,718.44 = 19,718.44 : x
  2. Step 2: Convert to fraction form
    11,830.64/19,718.44 = 19,718.44/x
  3. Step 3: Cross multiply
    11,830.64x = 19,718.44 × 19,718.44
  4. Step 4: Simplify right side
    11,830.64x = 388,816,777.44
  5. Step 5: Solve for x
    x = 388,816,777.44/11,830.64
  6. Step 6: Final answer
    x = 32,865.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.