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Finding the Third Proportional to 13,133.39 and 17,239.71

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Solution

The third proportional to 13,133.39 and 17,239.71 is: 22,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.39 : 17,239.71 = 17,239.71 : x
  2. Step 2: Convert to fraction form
    13,133.39/17,239.71 = 17,239.71/x
  3. Step 3: Cross multiply
    13,133.39x = 17,239.71 × 17,239.71
  4. Step 4: Simplify right side
    13,133.39x = 297,207,633.21
  5. Step 5: Solve for x
    x = 297,207,633.21/13,133.39
  6. Step 6: Final answer
    x = 22,629.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.